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Finding the Fourth Proportional to 10,022.69, 15,024.13 and 4,748.45

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Solution

The fourth proportional to 10,022.69, 15,024.13 and 4,748.45 is: 7,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.69 : 15,024.13 = 4,748.45 : x
  2. Step 2: Convert to fraction form
    10,022.69/15,024.13 = 4,748.45/x
  3. Step 3: Cross multiply
    10,022.69x = 15,024.13 × 4,748.45
  4. Step 4: Simplify right side
    10,022.69x = 71,341,243.11
  5. Step 5: Solve for x
    x = 71,341,243.11/10,022.69
  6. Step 6: Final answer
    x = 7,117.97

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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.