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Finding the Fourth Proportional to 27,412.34, 41,118.51 and 9,656.15

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Solution

The fourth proportional to 27,412.34, 41,118.51 and 9,656.15 is: 14,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.34 : 41,118.51 = 9,656.15 : x
  2. Step 2: Convert to fraction form
    27,412.34/41,118.51 = 9,656.15/x
  3. Step 3: Cross multiply
    27,412.34x = 41,118.51 × 9,656.15
  4. Step 4: Simplify right side
    27,412.34x = 397,046,294.74
  5. Step 5: Solve for x
    x = 397,046,294.74/27,412.34
  6. Step 6: Final answer
    x = 14,484.22

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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.