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Finding the Fourth Proportional to 14,981.40, 22,472.10 and 9,416.70

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Solution

The fourth proportional to 14,981.40, 22,472.10 and 9,416.70 is: 14,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,981.40 : 22,472.10 = 9,416.70 : x
  2. Step 2: Convert to fraction form
    14,981.40/22,472.10 = 9,416.70/x
  3. Step 3: Cross multiply
    14,981.40x = 22,472.10 × 9,416.70
  4. Step 4: Simplify right side
    14,981.40x = 211,613,024.07
  5. Step 5: Solve for x
    x = 211,613,024.07/14,981.40
  6. Step 6: Final answer
    x = 14,125.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.