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Finding the Fourth Proportional to 15,642.96, 23,459.64 and 8,526

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Solution

The fourth proportional to 15,642.96, 23,459.64 and 8,526 is: 12,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.96 : 23,459.64 = 8,526 : x
  2. Step 2: Convert to fraction form
    15,642.96/23,459.64 = 8,526/x
  3. Step 3: Cross multiply
    15,642.96x = 23,459.64 × 8,526
  4. Step 4: Simplify right side
    15,642.96x = 200,016,890.64
  5. Step 5: Solve for x
    x = 200,016,890.64/15,642.96
  6. Step 6: Final answer
    x = 12,786.38

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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.