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Finding the Fourth Proportional to 10,199.20, 15,214.04 and 10,030.03

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Solution

The fourth proportional to 10,199.20, 15,214.04 and 10,030.03 is: 14,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.20 : 15,214.04 = 10,030.03 : x
  2. Step 2: Convert to fraction form
    10,199.20/15,214.04 = 10,030.03/x
  3. Step 3: Cross multiply
    10,199.20x = 15,214.04 × 10,030.03
  4. Step 4: Simplify right side
    10,199.20x = 152,597,227.47
  5. Step 5: Solve for x
    x = 152,597,227.47/10,199.20
  6. Step 6: Final answer
    x = 14,961.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.