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Finding the Fourth Proportional to 15,233.76, 22,850.54 and 4,140.40

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Solution

The fourth proportional to 15,233.76, 22,850.54 and 4,140.40 is: 6,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.76 : 22,850.54 = 4,140.40 : x
  2. Step 2: Convert to fraction form
    15,233.76/22,850.54 = 4,140.40/x
  3. Step 3: Cross multiply
    15,233.76x = 22,850.54 × 4,140.40
  4. Step 4: Simplify right side
    15,233.76x = 94,610,375.82
  5. Step 5: Solve for x
    x = 94,610,375.82/15,233.76
  6. Step 6: Final answer
    x = 6,210.57

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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.