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Finding the Fourth Proportional to 19,425.78, 29,076 and 10,052.91

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Solution

The fourth proportional to 19,425.78, 29,076 and 10,052.91 is: 15,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425.78 : 29,076 = 10,052.91 : x
  2. Step 2: Convert to fraction form
    19,425.78/29,076 = 10,052.91/x
  3. Step 3: Cross multiply
    19,425.78x = 29,076 × 10,052.91
  4. Step 4: Simplify right side
    19,425.78x = 292,298,411.16
  5. Step 5: Solve for x
    x = 292,298,411.16/19,425.78
  6. Step 6: Final answer
    x = 15,046.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.