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Finding the Fourth Proportional to 16,985.82, 25,476.43 and 6,458.50

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Solution

The fourth proportional to 16,985.82, 25,476.43 and 6,458.50 is: 9,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.82 : 25,476.43 = 6,458.50 : x
  2. Step 2: Convert to fraction form
    16,985.82/25,476.43 = 6,458.50/x
  3. Step 3: Cross multiply
    16,985.82x = 25,476.43 × 6,458.50
  4. Step 4: Simplify right side
    16,985.82x = 164,539,523.16
  5. Step 5: Solve for x
    x = 164,539,523.16/16,985.82
  6. Step 6: Final answer
    x = 9,686.88

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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.