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Finding the Fourth Proportional to 13,019.52, 17,970.16 and 7,433.76

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Solution

The fourth proportional to 13,019.52, 17,970.16 and 7,433.76 is: 10,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.52 : 17,970.16 = 7,433.76 : x
  2. Step 2: Convert to fraction form
    13,019.52/17,970.16 = 7,433.76/x
  3. Step 3: Cross multiply
    13,019.52x = 17,970.16 × 7,433.76
  4. Step 4: Simplify right side
    13,019.52x = 133,585,856.60
  5. Step 5: Solve for x
    x = 133,585,856.60/13,019.52
  6. Step 6: Final answer
    x = 10,260.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.