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Finding the Fourth Proportional to 23,334, 32,200.02 and 13,263.77

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Solution

The fourth proportional to 23,334, 32,200.02 and 13,263.77 is: 18,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334 : 32,200.02 = 13,263.77 : x
  2. Step 2: Convert to fraction form
    23,334/32,200.02 = 13,263.77/x
  3. Step 3: Cross multiply
    23,334x = 32,200.02 × 13,263.77
  4. Step 4: Simplify right side
    23,334x = 427,093,498.28
  5. Step 5: Solve for x
    x = 427,093,498.28/23,334
  6. Step 6: Final answer
    x = 18,303.48

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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.