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Finding the Fourth Proportional to 22,847.68, 31,520.52 and 14,887

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Solution

The fourth proportional to 22,847.68, 31,520.52 and 14,887 is: 20,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.68 : 31,520.52 = 14,887 : x
  2. Step 2: Convert to fraction form
    22,847.68/31,520.52 = 14,887/x
  3. Step 3: Cross multiply
    22,847.68x = 31,520.52 × 14,887
  4. Step 4: Simplify right side
    22,847.68x = 469,245,981.24
  5. Step 5: Solve for x
    x = 469,245,981.24/22,847.68
  6. Step 6: Final answer
    x = 20,538.01

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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.