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Finding the Fourth Proportional to 24,923.84, 34,398.54 and 14,858.17

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Solution

The fourth proportional to 24,923.84, 34,398.54 and 14,858.17 is: 20,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.84 : 34,398.54 = 14,858.17 : x
  2. Step 2: Convert to fraction form
    24,923.84/34,398.54 = 14,858.17/x
  3. Step 3: Cross multiply
    24,923.84x = 34,398.54 × 14,858.17
  4. Step 4: Simplify right side
    24,923.84x = 511,099,269.08
  5. Step 5: Solve for x
    x = 511,099,269.08/24,923.84
  6. Step 6: Final answer
    x = 20,506.45

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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.