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Finding the Fourth Proportional to 16,702.88, 25,054.31 and 6,842.18

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Solution

The fourth proportional to 16,702.88, 25,054.31 and 6,842.18 is: 10,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.88 : 25,054.31 = 6,842.18 : x
  2. Step 2: Convert to fraction form
    16,702.88/25,054.31 = 6,842.18/x
  3. Step 3: Cross multiply
    16,702.88x = 25,054.31 × 6,842.18
  4. Step 4: Simplify right side
    16,702.88x = 171,426,001.95
  5. Step 5: Solve for x
    x = 171,426,001.95/16,702.88
  6. Step 6: Final answer
    x = 10,263.26

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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.