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Finding the Fourth Proportional to 12,543.96, 18,802.76 and 4,221.08

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Solution

The fourth proportional to 12,543.96, 18,802.76 and 4,221.08 is: 6,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.96 : 18,802.76 = 4,221.08 : x
  2. Step 2: Convert to fraction form
    12,543.96/18,802.76 = 4,221.08/x
  3. Step 3: Cross multiply
    12,543.96x = 18,802.76 × 4,221.08
  4. Step 4: Simplify right side
    12,543.96x = 79,368,011.74
  5. Step 5: Solve for x
    x = 79,368,011.74/12,543.96
  6. Step 6: Final answer
    x = 6,327.19

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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.