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Finding the Fourth Proportional to 27,114.68, 40,677.51 and 9,596.81

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Solution

The fourth proportional to 27,114.68, 40,677.51 and 9,596.81 is: 14,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.68 : 40,677.51 = 9,596.81 : x
  2. Step 2: Convert to fraction form
    27,114.68/40,677.51 = 9,596.81/x
  3. Step 3: Cross multiply
    27,114.68x = 40,677.51 × 9,596.81
  4. Step 4: Simplify right side
    27,114.68x = 390,374,131.36
  5. Step 5: Solve for x
    x = 390,374,131.36/27,114.68
  6. Step 6: Final answer
    x = 14,397.15

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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.