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Finding the Fourth Proportional to 13,102.92, 18,099.72 and 10,468.80

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Solution

The fourth proportional to 13,102.92, 18,099.72 and 10,468.80 is: 14,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.92 : 18,099.72 = 10,468.80 : x
  2. Step 2: Convert to fraction form
    13,102.92/18,099.72 = 10,468.80/x
  3. Step 3: Cross multiply
    13,102.92x = 18,099.72 × 10,468.80
  4. Step 4: Simplify right side
    13,102.92x = 189,482,348.74
  5. Step 5: Solve for x
    x = 189,482,348.74/13,102.92
  6. Step 6: Final answer
    x = 14,461.08

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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.