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Finding the Fourth Proportional to 25,097.56, 37,652.74 and 9,515.48

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Solution

The fourth proportional to 25,097.56, 37,652.74 and 9,515.48 is: 14,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.56 : 37,652.74 = 9,515.48 : x
  2. Step 2: Convert to fraction form
    25,097.56/37,652.74 = 9,515.48/x
  3. Step 3: Cross multiply
    25,097.56x = 37,652.74 × 9,515.48
  4. Step 4: Simplify right side
    25,097.56x = 358,283,894.42
  5. Step 5: Solve for x
    x = 358,283,894.42/25,097.56
  6. Step 6: Final answer
    x = 14,275.65

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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.