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Finding the Fourth Proportional to 13,228.68, 18,256.10 and 7,260.55

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Solution

The fourth proportional to 13,228.68, 18,256.10 and 7,260.55 is: 10,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.68 : 18,256.10 = 7,260.55 : x
  2. Step 2: Convert to fraction form
    13,228.68/18,256.10 = 7,260.55/x
  3. Step 3: Cross multiply
    13,228.68x = 18,256.10 × 7,260.55
  4. Step 4: Simplify right side
    13,228.68x = 132,549,326.86
  5. Step 5: Solve for x
    x = 132,549,326.86/13,228.68
  6. Step 6: Final answer
    x = 10,019.85

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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.