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Finding the Fourth Proportional to 22,491.48, 31,038.04 and 12,419.94

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Solution

The fourth proportional to 22,491.48, 31,038.04 and 12,419.94 is: 17,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.48 : 31,038.04 = 12,419.94 : x
  2. Step 2: Convert to fraction form
    22,491.48/31,038.04 = 12,419.94/x
  3. Step 3: Cross multiply
    22,491.48x = 31,038.04 × 12,419.94
  4. Step 4: Simplify right side
    22,491.48x = 385,490,594.52
  5. Step 5: Solve for x
    x = 385,490,594.52/22,491.48
  6. Step 6: Final answer
    x = 17,139.41

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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.