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Finding the Fourth Proportional to 13,097.16, 18,074.34 and 10,267.92

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Solution

The fourth proportional to 13,097.16, 18,074.34 and 10,267.92 is: 14,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.16 : 18,074.34 = 10,267.92 : x
  2. Step 2: Convert to fraction form
    13,097.16/18,074.34 = 10,267.92/x
  3. Step 3: Cross multiply
    13,097.16x = 18,074.34 × 10,267.92
  4. Step 4: Simplify right side
    13,097.16x = 185,585,877.17
  5. Step 5: Solve for x
    x = 185,585,877.17/13,097.16
  6. Step 6: Final answer
    x = 14,169.93

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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.