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Finding the Fourth Proportional to 23,887.80, 32,965.20 and 13,277.16

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Solution

The fourth proportional to 23,887.80, 32,965.20 and 13,277.16 is: 18,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,887.80 : 32,965.20 = 13,277.16 : x
  2. Step 2: Convert to fraction form
    23,887.80/32,965.20 = 13,277.16/x
  3. Step 3: Cross multiply
    23,887.80x = 32,965.20 × 13,277.16
  4. Step 4: Simplify right side
    23,887.80x = 437,684,234.83
  5. Step 5: Solve for x
    x = 437,684,234.83/23,887.80
  6. Step 6: Final answer
    x = 18,322.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.