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Finding the Fourth Proportional to 24,327.88, 36,508.24 and 9,535

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Solution

The fourth proportional to 24,327.88, 36,508.24 and 9,535 is: 14,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.88 : 36,508.24 = 9,535 : x
  2. Step 2: Convert to fraction form
    24,327.88/36,508.24 = 9,535/x
  3. Step 3: Cross multiply
    24,327.88x = 36,508.24 × 9,535
  4. Step 4: Simplify right side
    24,327.88x = 348,106,068.40
  5. Step 5: Solve for x
    x = 348,106,068.40/24,327.88
  6. Step 6: Final answer
    x = 14,308.94

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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.