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Finding the Fourth Proportional to 17,103.61, 25,634.45 and 9,714.29

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Solution

The fourth proportional to 17,103.61, 25,634.45 and 9,714.29 is: 14,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.61 : 25,634.45 = 9,714.29 : x
  2. Step 2: Convert to fraction form
    17,103.61/25,634.45 = 9,714.29/x
  3. Step 3: Cross multiply
    17,103.61x = 25,634.45 × 9,714.29
  4. Step 4: Simplify right side
    17,103.61x = 249,020,377.40
  5. Step 5: Solve for x
    x = 249,020,377.40/17,103.61
  6. Step 6: Final answer
    x = 14,559.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.