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Finding the Fourth Proportional to 17,454, 24,086.52 and 10,006.32

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Solution

The fourth proportional to 17,454, 24,086.52 and 10,006.32 is: 13,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454 : 24,086.52 = 10,006.32 : x
  2. Step 2: Convert to fraction form
    17,454/24,086.52 = 10,006.32/x
  3. Step 3: Cross multiply
    17,454x = 24,086.52 × 10,006.32
  4. Step 4: Simplify right side
    17,454x = 241,017,426.81
  5. Step 5: Solve for x
    x = 241,017,426.81/17,454
  6. Step 6: Final answer
    x = 13,808.72

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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.