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Finding the Fourth Proportional to 24,769.64, 34,181.52 and 14,159.18

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Solution

The fourth proportional to 24,769.64, 34,181.52 and 14,159.18 is: 19,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.64 : 34,181.52 = 14,159.18 : x
  2. Step 2: Convert to fraction form
    24,769.64/34,181.52 = 14,159.18/x
  3. Step 3: Cross multiply
    24,769.64x = 34,181.52 × 14,159.18
  4. Step 4: Simplify right side
    24,769.64x = 483,982,294.35
  5. Step 5: Solve for x
    x = 483,982,294.35/24,769.64
  6. Step 6: Final answer
    x = 19,539.34

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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.