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Finding the Fourth Proportional to 14,711.80, 20,312.85 and 9,054.16

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Solution

The fourth proportional to 14,711.80, 20,312.85 and 9,054.16 is: 12,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.80 : 20,312.85 = 9,054.16 : x
  2. Step 2: Convert to fraction form
    14,711.80/20,312.85 = 9,054.16/x
  3. Step 3: Cross multiply
    14,711.80x = 20,312.85 × 9,054.16
  4. Step 4: Simplify right side
    14,711.80x = 183,915,793.96
  5. Step 5: Solve for x
    x = 183,915,793.96/14,711.80
  6. Step 6: Final answer
    x = 12,501.24

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