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Finding the Fourth Proportional to 24,738.60, 34,139.70 and 14,129.40

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Solution

The fourth proportional to 24,738.60, 34,139.70 and 14,129.40 is: 19,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.60 : 34,139.70 = 14,129.40 : x
  2. Step 2: Convert to fraction form
    24,738.60/34,139.70 = 14,129.40/x
  3. Step 3: Cross multiply
    24,738.60x = 34,139.70 × 14,129.40
  4. Step 4: Simplify right side
    24,738.60x = 482,373,477.18
  5. Step 5: Solve for x
    x = 482,373,477.18/24,738.60
  6. Step 6: Final answer
    x = 19,498.82

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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.