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Finding the Fourth Proportional to 13,113.12, 18,097.68 and 7,524

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Solution

The fourth proportional to 13,113.12, 18,097.68 and 7,524 is: 10,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.12 : 18,097.68 = 7,524 : x
  2. Step 2: Convert to fraction form
    13,113.12/18,097.68 = 7,524/x
  3. Step 3: Cross multiply
    13,113.12x = 18,097.68 × 7,524
  4. Step 4: Simplify right side
    13,113.12x = 136,166,944.32
  5. Step 5: Solve for x
    x = 136,166,944.32/13,113.12
  6. Step 6: Final answer
    x = 10,384.02

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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.