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Finding the Fourth Proportional to 24,755.16, 34,164 and 14,145.24

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Solution

The fourth proportional to 24,755.16, 34,164 and 14,145.24 is: 19,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.16 : 34,164 = 14,145.24 : x
  2. Step 2: Convert to fraction form
    24,755.16/34,164 = 14,145.24/x
  3. Step 3: Cross multiply
    24,755.16x = 34,164 × 14,145.24
  4. Step 4: Simplify right side
    24,755.16x = 483,257,979.36
  5. Step 5: Solve for x
    x = 483,257,979.36/24,755.16
  6. Step 6: Final answer
    x = 19,521.50

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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.