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Finding the Fourth Proportional to 14,115.61, 19,478.48 and 7,741.18

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Solution

The fourth proportional to 14,115.61, 19,478.48 and 7,741.18 is: 10,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.61 : 19,478.48 = 7,741.18 : x
  2. Step 2: Convert to fraction form
    14,115.61/19,478.48 = 7,741.18/x
  3. Step 3: Cross multiply
    14,115.61x = 19,478.48 × 7,741.18
  4. Step 4: Simplify right side
    14,115.61x = 150,786,419.81
  5. Step 5: Solve for x
    x = 150,786,419.81/14,115.61
  6. Step 6: Final answer
    x = 10,682.25

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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.