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Finding the Fourth Proportional to 13,820.68, 20,732.37 and 5,058.10

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Solution

The fourth proportional to 13,820.68, 20,732.37 and 5,058.10 is: 7,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.68 : 20,732.37 = 5,058.10 : x
  2. Step 2: Convert to fraction form
    13,820.68/20,732.37 = 5,058.10/x
  3. Step 3: Cross multiply
    13,820.68x = 20,732.37 × 5,058.10
  4. Step 4: Simplify right side
    13,820.68x = 104,866,400.70
  5. Step 5: Solve for x
    x = 104,866,400.70/13,820.68
  6. Step 6: Final answer
    x = 7,587.64

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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.