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Finding the Fourth Proportional to 20,437.72, 30,640.16 and 11,547.57

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Solution

The fourth proportional to 20,437.72, 30,640.16 and 11,547.57 is: 17,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.72 : 30,640.16 = 11,547.57 : x
  2. Step 2: Convert to fraction form
    20,437.72/30,640.16 = 11,547.57/x
  3. Step 3: Cross multiply
    20,437.72x = 30,640.16 × 11,547.57
  4. Step 4: Simplify right side
    20,437.72x = 353,819,363.83
  5. Step 5: Solve for x
    x = 353,819,363.83/20,437.72
  6. Step 6: Final answer
    x = 17,312.07

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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.