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Finding the Fourth Proportional to 22,491.22, 31,038.02 and 12,419.47

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Solution

The fourth proportional to 22,491.22, 31,038.02 and 12,419.47 is: 17,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.22 : 31,038.02 = 12,419.47 : x
  2. Step 2: Convert to fraction form
    22,491.22/31,038.02 = 12,419.47/x
  3. Step 3: Cross multiply
    22,491.22x = 31,038.02 × 12,419.47
  4. Step 4: Simplify right side
    22,491.22x = 385,475,758.25
  5. Step 5: Solve for x
    x = 385,475,758.25/22,491.22
  6. Step 6: Final answer
    x = 17,138.94

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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.