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Finding the Fourth Proportional to 16,988.32, 25,480.18 and 6,461

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Solution

The fourth proportional to 16,988.32, 25,480.18 and 6,461 is: 9,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988.32 : 25,480.18 = 6,461 : x
  2. Step 2: Convert to fraction form
    16,988.32/25,480.18 = 6,461/x
  3. Step 3: Cross multiply
    16,988.32x = 25,480.18 × 6,461
  4. Step 4: Simplify right side
    16,988.32x = 164,627,442.98
  5. Step 5: Solve for x
    x = 164,627,442.98/16,988.32
  6. Step 6: Final answer
    x = 9,690.63

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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.