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Finding the Fourth Proportional to 17,886.96, 24,684 and 9,929.18

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Solution

The fourth proportional to 17,886.96, 24,684 and 9,929.18 is: 13,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.96 : 24,684 = 9,929.18 : x
  2. Step 2: Convert to fraction form
    17,886.96/24,684 = 9,929.18/x
  3. Step 3: Cross multiply
    17,886.96x = 24,684 × 9,929.18
  4. Step 4: Simplify right side
    17,886.96x = 245,091,879.12
  5. Step 5: Solve for x
    x = 245,091,879.12/17,886.96
  6. Step 6: Final answer
    x = 13,702.27

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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.