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Finding the Fourth Proportional to 24,642.24, 34,005.92 and 14,704.32

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Solution

The fourth proportional to 24,642.24, 34,005.92 and 14,704.32 is: 20,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.24 : 34,005.92 = 14,704.32 : x
  2. Step 2: Convert to fraction form
    24,642.24/34,005.92 = 14,704.32/x
  3. Step 3: Cross multiply
    24,642.24x = 34,005.92 × 14,704.32
  4. Step 4: Simplify right side
    24,642.24x = 500,033,929.57
  5. Step 5: Solve for x
    x = 500,033,929.57/24,642.24
  6. Step 6: Final answer
    x = 20,291.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.