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Finding the Fourth Proportional to 12,564.34, 18,849.66 and 8,873.80

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Solution

The fourth proportional to 12,564.34, 18,849.66 and 8,873.80 is: 13,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.34 : 18,849.66 = 8,873.80 : x
  2. Step 2: Convert to fraction form
    12,564.34/18,849.66 = 8,873.80/x
  3. Step 3: Cross multiply
    12,564.34x = 18,849.66 × 8,873.80
  4. Step 4: Simplify right side
    12,564.34x = 167,268,112.91
  5. Step 5: Solve for x
    x = 167,268,112.91/12,564.34
  6. Step 6: Final answer
    x = 13,312.92

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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.