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Finding the Fourth Proportional to 27,318.70, 40,981.70 and 9,547.30

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Solution

The fourth proportional to 27,318.70, 40,981.70 and 9,547.30 is: 14,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318.70 : 40,981.70 = 9,547.30 : x
  2. Step 2: Convert to fraction form
    27,318.70/40,981.70 = 9,547.30/x
  3. Step 3: Cross multiply
    27,318.70x = 40,981.70 × 9,547.30
  4. Step 4: Simplify right side
    27,318.70x = 391,264,584.41
  5. Step 5: Solve for x
    x = 391,264,584.41/27,318.70
  6. Step 6: Final answer
    x = 14,322.23

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Why These Related Problems?

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