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Finding the Fourth Proportional to 15,827.60, 21,842.52 and 9,115.58

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Solution

The fourth proportional to 15,827.60, 21,842.52 and 9,115.58 is: 12,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.60 : 21,842.52 = 9,115.58 : x
  2. Step 2: Convert to fraction form
    15,827.60/21,842.52 = 9,115.58/x
  3. Step 3: Cross multiply
    15,827.60x = 21,842.52 × 9,115.58
  4. Step 4: Simplify right side
    15,827.60x = 199,107,238.46
  5. Step 5: Solve for x
    x = 199,107,238.46/15,827.60
  6. Step 6: Final answer
    x = 12,579.75

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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.