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Finding the Fourth Proportional to 10,197.45, 15,294.52 and 2,800.18

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Solution

The fourth proportional to 10,197.45, 15,294.52 and 2,800.18 is: 4,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.45 : 15,294.52 = 2,800.18 : x
  2. Step 2: Convert to fraction form
    10,197.45/15,294.52 = 2,800.18/x
  3. Step 3: Cross multiply
    10,197.45x = 15,294.52 × 2,800.18
  4. Step 4: Simplify right side
    10,197.45x = 42,827,409.01
  5. Step 5: Solve for x
    x = 42,827,409.01/10,197.45
  6. Step 6: Final answer
    x = 4,199.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.