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Finding the Fourth Proportional to 12,501.40, 18,773.70 and 8,829.40

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Solution

The fourth proportional to 12,501.40, 18,773.70 and 8,829.40 is: 13,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.40 : 18,773.70 = 8,829.40 : x
  2. Step 2: Convert to fraction form
    12,501.40/18,773.70 = 8,829.40/x
  3. Step 3: Cross multiply
    12,501.40x = 18,773.70 × 8,829.40
  4. Step 4: Simplify right side
    12,501.40x = 165,760,506.78
  5. Step 5: Solve for x
    x = 165,760,506.78/12,501.40
  6. Step 6: Final answer
    x = 13,259.36

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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.