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Finding the Fourth Proportional to 24,507.60, 36,743.40 and 7,858.08

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Solution

The fourth proportional to 24,507.60, 36,743.40 and 7,858.08 is: 11,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.60 : 36,743.40 = 7,858.08 : x
  2. Step 2: Convert to fraction form
    24,507.60/36,743.40 = 7,858.08/x
  3. Step 3: Cross multiply
    24,507.60x = 36,743.40 × 7,858.08
  4. Step 4: Simplify right side
    24,507.60x = 288,732,576.67
  5. Step 5: Solve for x
    x = 288,732,576.67/24,507.60
  6. Step 6: Final answer
    x = 11,781.35

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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.