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Finding the Fourth Proportional to 17,886.29, 26,780.18 and 9,078.12

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Solution

The fourth proportional to 17,886.29, 26,780.18 and 9,078.12 is: 13,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.29 : 26,780.18 = 9,078.12 : x
  2. Step 2: Convert to fraction form
    17,886.29/26,780.18 = 9,078.12/x
  3. Step 3: Cross multiply
    17,886.29x = 26,780.18 × 9,078.12
  4. Step 4: Simplify right side
    17,886.29x = 243,113,642.27
  5. Step 5: Solve for x
    x = 243,113,642.27/17,886.29
  6. Step 6: Final answer
    x = 13,592.18

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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.