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Finding the Fourth Proportional to 12,109.56, 16,713.16 and 10,089.76

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Solution

The fourth proportional to 12,109.56, 16,713.16 and 10,089.76 is: 13,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.56 : 16,713.16 = 10,089.76 : x
  2. Step 2: Convert to fraction form
    12,109.56/16,713.16 = 10,089.76/x
  3. Step 3: Cross multiply
    12,109.56x = 16,713.16 × 10,089.76
  4. Step 4: Simplify right side
    12,109.56x = 168,631,773.24
  5. Step 5: Solve for x
    x = 168,631,773.24/12,109.56
  6. Step 6: Final answer
    x = 13,925.51

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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.