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Finding the Fourth Proportional to 17,438.40, 26,141.64 and 7,574.13

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Solution

The fourth proportional to 17,438.40, 26,141.64 and 7,574.13 is: 11,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.40 : 26,141.64 = 7,574.13 : x
  2. Step 2: Convert to fraction form
    17,438.40/26,141.64 = 7,574.13/x
  3. Step 3: Cross multiply
    17,438.40x = 26,141.64 × 7,574.13
  4. Step 4: Simplify right side
    17,438.40x = 198,000,179.77
  5. Step 5: Solve for x
    x = 198,000,179.77/17,438.40
  6. Step 6: Final answer
    x = 11,354.26

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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.