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Finding the Fourth Proportional to 12,013.71, 16,581.88 and 7,769.51

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Solution

The fourth proportional to 12,013.71, 16,581.88 and 7,769.51 is: 10,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.71 : 16,581.88 = 7,769.51 : x
  2. Step 2: Convert to fraction form
    12,013.71/16,581.88 = 7,769.51/x
  3. Step 3: Cross multiply
    12,013.71x = 16,581.88 × 7,769.51
  4. Step 4: Simplify right side
    12,013.71x = 128,833,082.48
  5. Step 5: Solve for x
    x = 128,833,082.48/12,013.71
  6. Step 6: Final answer
    x = 10,723.84

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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.