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Finding the Fourth Proportional to 10,552.20, 14,598.90 and 10,321.80

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Solution

The fourth proportional to 10,552.20, 14,598.90 and 10,321.80 is: 14,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.20 : 14,598.90 = 10,321.80 : x
  2. Step 2: Convert to fraction form
    10,552.20/14,598.90 = 10,321.80/x
  3. Step 3: Cross multiply
    10,552.20x = 14,598.90 × 10,321.80
  4. Step 4: Simplify right side
    10,552.20x = 150,686,926.02
  5. Step 5: Solve for x
    x = 150,686,926.02/10,552.20
  6. Step 6: Final answer
    x = 14,280.14

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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.