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Finding the Fourth Proportional to 24,207.65, 36,278.63 and 11,702.77

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Solution

The fourth proportional to 24,207.65, 36,278.63 and 11,702.77 is: 17,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.65 : 36,278.63 = 11,702.77 : x
  2. Step 2: Convert to fraction form
    24,207.65/36,278.63 = 11,702.77/x
  3. Step 3: Cross multiply
    24,207.65x = 36,278.63 × 11,702.77
  4. Step 4: Simplify right side
    24,207.65x = 424,560,462.81
  5. Step 5: Solve for x
    x = 424,560,462.81/24,207.65
  6. Step 6: Final answer
    x = 17,538.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.