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Finding the Fourth Proportional to 24,656.64, 34,033.28 and 14,052

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Solution

The fourth proportional to 24,656.64, 34,033.28 and 14,052 is: 19,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.64 : 34,033.28 = 14,052 : x
  2. Step 2: Convert to fraction form
    24,656.64/34,033.28 = 14,052/x
  3. Step 3: Cross multiply
    24,656.64x = 34,033.28 × 14,052
  4. Step 4: Simplify right side
    24,656.64x = 478,235,650.56
  5. Step 5: Solve for x
    x = 478,235,650.56/24,656.64
  6. Step 6: Final answer
    x = 19,395.82

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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.