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Finding the Fourth Proportional to 25,065.38, 37,598.78 and 7,535.16

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Solution

The fourth proportional to 25,065.38, 37,598.78 and 7,535.16 is: 11,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065.38 : 37,598.78 = 7,535.16 : x
  2. Step 2: Convert to fraction form
    25,065.38/37,598.78 = 7,535.16/x
  3. Step 3: Cross multiply
    25,065.38x = 37,598.78 × 7,535.16
  4. Step 4: Simplify right side
    25,065.38x = 283,312,841.94
  5. Step 5: Solve for x
    x = 283,312,841.94/25,065.38
  6. Step 6: Final answer
    x = 11,302.95

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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.