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Finding the Fourth Proportional to 25,321.60, 37,983.36 and 7,552

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Solution

The fourth proportional to 25,321.60, 37,983.36 and 7,552 is: 11,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321.60 : 37,983.36 = 7,552 : x
  2. Step 2: Convert to fraction form
    25,321.60/37,983.36 = 7,552/x
  3. Step 3: Cross multiply
    25,321.60x = 37,983.36 × 7,552
  4. Step 4: Simplify right side
    25,321.60x = 286,850,334.72
  5. Step 5: Solve for x
    x = 286,850,334.72/25,321.60
  6. Step 6: Final answer
    x = 11,328.29

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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.