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Finding the Fourth Proportional to 15,898.76, 23,848.13 and 6,543.86

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Solution

The fourth proportional to 15,898.76, 23,848.13 and 6,543.86 is: 9,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.76 : 23,848.13 = 6,543.86 : x
  2. Step 2: Convert to fraction form
    15,898.76/23,848.13 = 6,543.86/x
  3. Step 3: Cross multiply
    15,898.76x = 23,848.13 × 6,543.86
  4. Step 4: Simplify right side
    15,898.76x = 156,058,899.96
  5. Step 5: Solve for x
    x = 156,058,899.96/15,898.76
  6. Step 6: Final answer
    x = 9,815.79

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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.