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Finding the Fourth Proportional to 15,984.09, 22,057.23 and 8,909.14

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Solution

The fourth proportional to 15,984.09, 22,057.23 and 8,909.14 is: 12,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.09 : 22,057.23 = 8,909.14 : x
  2. Step 2: Convert to fraction form
    15,984.09/22,057.23 = 8,909.14/x
  3. Step 3: Cross multiply
    15,984.09x = 22,057.23 × 8,909.14
  4. Step 4: Simplify right side
    15,984.09x = 196,510,950.08
  5. Step 5: Solve for x
    x = 196,510,950.08/15,984.09
  6. Step 6: Final answer
    x = 12,294.16

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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.