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Finding the Fourth Proportional to 23,838.70, 32,898.97 and 13,767.57

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Solution

The fourth proportional to 23,838.70, 32,898.97 and 13,767.57 is: 19,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.70 : 32,898.97 = 13,767.57 : x
  2. Step 2: Convert to fraction form
    23,838.70/32,898.97 = 13,767.57/x
  3. Step 3: Cross multiply
    23,838.70x = 32,898.97 × 13,767.57
  4. Step 4: Simplify right side
    23,838.70x = 452,938,872.40
  5. Step 5: Solve for x
    x = 452,938,872.40/23,838.70
  6. Step 6: Final answer
    x = 19,000.15

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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.