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Finding the Fourth Proportional to 16,142.40, 24,044.40 and 15,384.48

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Solution

The fourth proportional to 16,142.40, 24,044.40 and 15,384.48 is: 22,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.40 : 24,044.40 = 15,384.48 : x
  2. Step 2: Convert to fraction form
    16,142.40/24,044.40 = 15,384.48/x
  3. Step 3: Cross multiply
    16,142.40x = 24,044.40 × 15,384.48
  4. Step 4: Simplify right side
    16,142.40x = 369,910,590.91
  5. Step 5: Solve for x
    x = 369,910,590.91/16,142.40
  6. Step 6: Final answer
    x = 22,915.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.