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Finding the Fourth Proportional to 22,491.33, 31,038.05 and 12,419.79

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Solution

The fourth proportional to 22,491.33, 31,038.05 and 12,419.79 is: 17,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.33 : 31,038.05 = 12,419.79 : x
  2. Step 2: Convert to fraction form
    22,491.33/31,038.05 = 12,419.79/x
  3. Step 3: Cross multiply
    22,491.33x = 31,038.05 × 12,419.79
  4. Step 4: Simplify right side
    22,491.33x = 385,486,000.91
  5. Step 5: Solve for x
    x = 385,486,000.91/22,491.33
  6. Step 6: Final answer
    x = 17,139.32

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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.