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Finding the Fourth Proportional to 22,491.72, 31,038.82 and 12,420.14

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Solution

The fourth proportional to 22,491.72, 31,038.82 and 12,420.14 is: 17,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.72 : 31,038.82 = 12,420.14 : x
  2. Step 2: Convert to fraction form
    22,491.72/31,038.82 = 12,420.14/x
  3. Step 3: Cross multiply
    22,491.72x = 31,038.82 × 12,420.14
  4. Step 4: Simplify right side
    22,491.72x = 385,506,489.83
  5. Step 5: Solve for x
    x = 385,506,489.83/22,491.72
  6. Step 6: Final answer
    x = 17,139.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.