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Finding the Fourth Proportional to 24,705.82, 34,097.25 and 14,097.52

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Solution

The fourth proportional to 24,705.82, 34,097.25 and 14,097.52 is: 19,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.82 : 34,097.25 = 14,097.52 : x
  2. Step 2: Convert to fraction form
    24,705.82/34,097.25 = 14,097.52/x
  3. Step 3: Cross multiply
    24,705.82x = 34,097.25 × 14,097.52
  4. Step 4: Simplify right side
    24,705.82x = 480,686,663.82
  5. Step 5: Solve for x
    x = 480,686,663.82/24,705.82
  6. Step 6: Final answer
    x = 19,456.41

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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.