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Finding the Fourth Proportional to 17,537.60, 26,306.40 and 5,225.60

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Solution

The fourth proportional to 17,537.60, 26,306.40 and 5,225.60 is: 7,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.60 : 26,306.40 = 5,225.60 : x
  2. Step 2: Convert to fraction form
    17,537.60/26,306.40 = 5,225.60/x
  3. Step 3: Cross multiply
    17,537.60x = 26,306.40 × 5,225.60
  4. Step 4: Simplify right side
    17,537.60x = 137,466,723.84
  5. Step 5: Solve for x
    x = 137,466,723.84/17,537.60
  6. Step 6: Final answer
    x = 7,838.40

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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.