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Finding the Fourth Proportional to 15,898.78, 23,848.16 and 6,543.89

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Solution

The fourth proportional to 15,898.78, 23,848.16 and 6,543.89 is: 9,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.78 : 23,848.16 = 6,543.89 : x
  2. Step 2: Convert to fraction form
    15,898.78/23,848.16 = 6,543.89/x
  3. Step 3: Cross multiply
    15,898.78x = 23,848.16 × 6,543.89
  4. Step 4: Simplify right side
    15,898.78x = 156,059,735.74
  5. Step 5: Solve for x
    x = 156,059,735.74/15,898.78
  6. Step 6: Final answer
    x = 9,815.83

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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.