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Finding the Fourth Proportional to 10,137.79, 15,206.74 and 10,123.21

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Solution

The fourth proportional to 10,137.79, 15,206.74 and 10,123.21 is: 15,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.79 : 15,206.74 = 10,123.21 : x
  2. Step 2: Convert to fraction form
    10,137.79/15,206.74 = 10,123.21/x
  3. Step 3: Cross multiply
    10,137.79x = 15,206.74 × 10,123.21
  4. Step 4: Simplify right side
    10,137.79x = 153,941,016.14
  5. Step 5: Solve for x
    x = 153,941,016.14/10,137.79
  6. Step 6: Final answer
    x = 15,184.87

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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.