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Finding the Fourth Proportional to 24,335.79, 36,503.44 and 7,695.83

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Solution

The fourth proportional to 24,335.79, 36,503.44 and 7,695.83 is: 11,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.79 : 36,503.44 = 7,695.83 : x
  2. Step 2: Convert to fraction form
    24,335.79/36,503.44 = 7,695.83/x
  3. Step 3: Cross multiply
    24,335.79x = 36,503.44 × 7,695.83
  4. Step 4: Simplify right side
    24,335.79x = 280,924,178.63
  5. Step 5: Solve for x
    x = 280,924,178.63/24,335.79
  6. Step 6: Final answer
    x = 11,543.66

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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.