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Finding the Fourth Proportional to 13,057.46, 19,578.08 and 4,290.02

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Solution

The fourth proportional to 13,057.46, 19,578.08 and 4,290.02 is: 6,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.46 : 19,578.08 = 4,290.02 : x
  2. Step 2: Convert to fraction form
    13,057.46/19,578.08 = 4,290.02/x
  3. Step 3: Cross multiply
    13,057.46x = 19,578.08 × 4,290.02
  4. Step 4: Simplify right side
    13,057.46x = 83,990,267.60
  5. Step 5: Solve for x
    x = 83,990,267.60/13,057.46
  6. Step 6: Final answer
    x = 6,432.36

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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.