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Finding the Fourth Proportional to 13,884.76, 19,161.12 and 7,597

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Solution

The fourth proportional to 13,884.76, 19,161.12 and 7,597 is: 10,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.76 : 19,161.12 = 7,597 : x
  2. Step 2: Convert to fraction form
    13,884.76/19,161.12 = 7,597/x
  3. Step 3: Cross multiply
    13,884.76x = 19,161.12 × 7,597
  4. Step 4: Simplify right side
    13,884.76x = 145,567,028.64
  5. Step 5: Solve for x
    x = 145,567,028.64/13,884.76
  6. Step 6: Final answer
    x = 10,483.94

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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.