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Finding the Fourth Proportional to 24,840, 37,252.71 and 7,305.66

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Solution

The fourth proportional to 24,840, 37,252.71 and 7,305.66 is: 10,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840 : 37,252.71 = 7,305.66 : x
  2. Step 2: Convert to fraction form
    24,840/37,252.71 = 7,305.66/x
  3. Step 3: Cross multiply
    24,840x = 37,252.71 × 7,305.66
  4. Step 4: Simplify right side
    24,840x = 272,155,633.34
  5. Step 5: Solve for x
    x = 272,155,633.34/24,840
  6. Step 6: Final answer
    x = 10,956.35

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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.