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Finding the Fourth Proportional to 13,101.96, 18,062.58 and 9,565.32

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Solution

The fourth proportional to 13,101.96, 18,062.58 and 9,565.32 is: 13,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.96 : 18,062.58 = 9,565.32 : x
  2. Step 2: Convert to fraction form
    13,101.96/18,062.58 = 9,565.32/x
  3. Step 3: Cross multiply
    13,101.96x = 18,062.58 × 9,565.32
  4. Step 4: Simplify right side
    13,101.96x = 172,774,357.73
  5. Step 5: Solve for x
    x = 172,774,357.73/13,101.96
  6. Step 6: Final answer
    x = 13,186.91

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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.