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Finding the Fourth Proportional to 24,468.24, 36,702.21 and 6,938.07

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Solution

The fourth proportional to 24,468.24, 36,702.21 and 6,938.07 is: 10,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.24 : 36,702.21 = 6,938.07 : x
  2. Step 2: Convert to fraction form
    24,468.24/36,702.21 = 6,938.07/x
  3. Step 3: Cross multiply
    24,468.24x = 36,702.21 × 6,938.07
  4. Step 4: Simplify right side
    24,468.24x = 254,642,502.13
  5. Step 5: Solve for x
    x = 254,642,502.13/24,468.24
  6. Step 6: Final answer
    x = 10,407.06

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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.