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Finding the Fourth Proportional to 10,019.36, 15,030.41 and 4,174.61

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Solution

The fourth proportional to 10,019.36, 15,030.41 and 4,174.61 is: 6,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.36 : 15,030.41 = 4,174.61 : x
  2. Step 2: Convert to fraction form
    10,019.36/15,030.41 = 4,174.61/x
  3. Step 3: Cross multiply
    10,019.36x = 15,030.41 × 4,174.61
  4. Step 4: Simplify right side
    10,019.36x = 62,746,003.87
  5. Step 5: Solve for x
    x = 62,746,003.87/10,019.36
  6. Step 6: Final answer
    x = 6,262.47

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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.