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Finding the Fourth Proportional to 15,762.38, 21,752.22 and 8,689.05

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Solution

The fourth proportional to 15,762.38, 21,752.22 and 8,689.05 is: 11,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.38 : 21,752.22 = 8,689.05 : x
  2. Step 2: Convert to fraction form
    15,762.38/21,752.22 = 8,689.05/x
  3. Step 3: Cross multiply
    15,762.38x = 21,752.22 × 8,689.05
  4. Step 4: Simplify right side
    15,762.38x = 189,006,127.19
  5. Step 5: Solve for x
    x = 189,006,127.19/15,762.38
  6. Step 6: Final answer
    x = 11,990.97

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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.