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Finding the Fourth Proportional to 10,019.70, 15,030.36 and 4,180.14

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Solution

The fourth proportional to 10,019.70, 15,030.36 and 4,180.14 is: 6,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.70 : 15,030.36 = 4,180.14 : x
  2. Step 2: Convert to fraction form
    10,019.70/15,030.36 = 4,180.14/x
  3. Step 3: Cross multiply
    10,019.70x = 15,030.36 × 4,180.14
  4. Step 4: Simplify right side
    10,019.70x = 62,829,009.05
  5. Step 5: Solve for x
    x = 62,829,009.05/10,019.70
  6. Step 6: Final answer
    x = 6,270.55

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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.