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Finding the Fourth Proportional to 16,987.32, 25,478.68 and 6,460

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Solution

The fourth proportional to 16,987.32, 25,478.68 and 6,460 is: 9,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.32 : 25,478.68 = 6,460 : x
  2. Step 2: Convert to fraction form
    16,987.32/25,478.68 = 6,460/x
  3. Step 3: Cross multiply
    16,987.32x = 25,478.68 × 6,460
  4. Step 4: Simplify right side
    16,987.32x = 164,592,272.80
  5. Step 5: Solve for x
    x = 164,592,272.80/16,987.32
  6. Step 6: Final answer
    x = 9,689.13

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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.