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Finding the Fourth Proportional to 24,656.64, 34,024.68 and 14,047.44

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Solution

The fourth proportional to 24,656.64, 34,024.68 and 14,047.44 is: 19,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.64 : 34,024.68 = 14,047.44 : x
  2. Step 2: Convert to fraction form
    24,656.64/34,024.68 = 14,047.44/x
  3. Step 3: Cross multiply
    24,656.64x = 34,024.68 × 14,047.44
  4. Step 4: Simplify right side
    24,656.64x = 477,959,650.82
  5. Step 5: Solve for x
    x = 477,959,650.82/24,656.64
  6. Step 6: Final answer
    x = 19,384.62

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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.