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Finding the Fourth Proportional to 12,561.84, 18,829.80 and 5,641.20

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Solution

The fourth proportional to 12,561.84, 18,829.80 and 5,641.20 is: 8,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.84 : 18,829.80 = 5,641.20 : x
  2. Step 2: Convert to fraction form
    12,561.84/18,829.80 = 5,641.20/x
  3. Step 3: Cross multiply
    12,561.84x = 18,829.80 × 5,641.20
  4. Step 4: Simplify right side
    12,561.84x = 106,222,667.76
  5. Step 5: Solve for x
    x = 106,222,667.76/12,561.84
  6. Step 6: Final answer
    x = 8,455.98

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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.