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Finding the Fourth Proportional to 13,459.50, 18,582.42 and 8,681.76

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Solution

The fourth proportional to 13,459.50, 18,582.42 and 8,681.76 is: 11,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.50 : 18,582.42 = 8,681.76 : x
  2. Step 2: Convert to fraction form
    13,459.50/18,582.42 = 8,681.76/x
  3. Step 3: Cross multiply
    13,459.50x = 18,582.42 × 8,681.76
  4. Step 4: Simplify right side
    13,459.50x = 161,328,110.66
  5. Step 5: Solve for x
    x = 161,328,110.66/13,459.50
  6. Step 6: Final answer
    x = 11,986.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.