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Finding the Fourth Proportional to 11,330.54, 15,597.33 and 9,829.62

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Solution

The fourth proportional to 11,330.54, 15,597.33 and 9,829.62 is: 13,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.54 : 15,597.33 = 9,829.62 : x
  2. Step 2: Convert to fraction form
    11,330.54/15,597.33 = 9,829.62/x
  3. Step 3: Cross multiply
    11,330.54x = 15,597.33 × 9,829.62
  4. Step 4: Simplify right side
    11,330.54x = 153,315,826.91
  5. Step 5: Solve for x
    x = 153,315,826.91/11,330.54
  6. Step 6: Final answer
    x = 13,531.20

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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.