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Finding the Fourth Proportional to 24,689.72, 37,038.09 and 9,106.22

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Solution

The fourth proportional to 24,689.72, 37,038.09 and 9,106.22 is: 13,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.72 : 37,038.09 = 9,106.22 : x
  2. Step 2: Convert to fraction form
    24,689.72/37,038.09 = 9,106.22/x
  3. Step 3: Cross multiply
    24,689.72x = 37,038.09 × 9,106.22
  4. Step 4: Simplify right side
    24,689.72x = 337,276,995.92
  5. Step 5: Solve for x
    x = 337,276,995.92/24,689.72
  6. Step 6: Final answer
    x = 13,660.62

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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.