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Finding the Fourth Proportional to 16,702.83, 23,046.39 and 9,987.39

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Solution

The fourth proportional to 16,702.83, 23,046.39 and 9,987.39 is: 13,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.83 : 23,046.39 = 9,987.39 : x
  2. Step 2: Convert to fraction form
    16,702.83/23,046.39 = 9,987.39/x
  3. Step 3: Cross multiply
    16,702.83x = 23,046.39 × 9,987.39
  4. Step 4: Simplify right side
    16,702.83x = 230,173,285.02
  5. Step 5: Solve for x
    x = 230,173,285.02/16,702.83
  6. Step 6: Final answer
    x = 13,780.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.