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Finding the Fourth Proportional to 12,561.72, 18,842.58 and 5,164.20

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Solution

The fourth proportional to 12,561.72, 18,842.58 and 5,164.20 is: 7,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.72 : 18,842.58 = 5,164.20 : x
  2. Step 2: Convert to fraction form
    12,561.72/18,842.58 = 5,164.20/x
  3. Step 3: Cross multiply
    12,561.72x = 18,842.58 × 5,164.20
  4. Step 4: Simplify right side
    12,561.72x = 97,306,851.64
  5. Step 5: Solve for x
    x = 97,306,851.64/12,561.72
  6. Step 6: Final answer
    x = 7,746.30

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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.