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Finding the Fourth Proportional to 25,537.32, 38,301.60 and 7,065

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Solution

The fourth proportional to 25,537.32, 38,301.60 and 7,065 is: 10,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.32 : 38,301.60 = 7,065 : x
  2. Step 2: Convert to fraction form
    25,537.32/38,301.60 = 7,065/x
  3. Step 3: Cross multiply
    25,537.32x = 38,301.60 × 7,065
  4. Step 4: Simplify right side
    25,537.32x = 270,600,804
  5. Step 5: Solve for x
    x = 270,600,804/25,537.32
  6. Step 6: Final answer
    x = 10,596.29

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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.