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Finding the Fourth Proportional to 17,140.32, 25,713.72 and 11,606.40

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Solution

The fourth proportional to 17,140.32, 25,713.72 and 11,606.40 is: 17,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.32 : 25,713.72 = 11,606.40 : x
  2. Step 2: Convert to fraction form
    17,140.32/25,713.72 = 11,606.40/x
  3. Step 3: Cross multiply
    17,140.32x = 25,713.72 × 11,606.40
  4. Step 4: Simplify right side
    17,140.32x = 298,443,719.81
  5. Step 5: Solve for x
    x = 298,443,719.81/17,140.32
  6. Step 6: Final answer
    x = 17,411.79

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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.