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Finding the Fourth Proportional to 17,498, 24,148.32 and 10,046

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Solution

The fourth proportional to 17,498, 24,148.32 and 10,046 is: 13,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498 : 24,148.32 = 10,046 : x
  2. Step 2: Convert to fraction form
    17,498/24,148.32 = 10,046/x
  3. Step 3: Cross multiply
    17,498x = 24,148.32 × 10,046
  4. Step 4: Simplify right side
    17,498x = 242,594,022.72
  5. Step 5: Solve for x
    x = 242,594,022.72/17,498
  6. Step 6: Final answer
    x = 13,864.10

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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.