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Finding the Fourth Proportional to 10,138.79, 15,208.24 and 10,124.21

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Solution

The fourth proportional to 10,138.79, 15,208.24 and 10,124.21 is: 15,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.79 : 15,208.24 = 10,124.21 : x
  2. Step 2: Convert to fraction form
    10,138.79/15,208.24 = 10,124.21/x
  3. Step 3: Cross multiply
    10,138.79x = 15,208.24 × 10,124.21
  4. Step 4: Simplify right side
    10,138.79x = 153,971,415.49
  5. Step 5: Solve for x
    x = 153,971,415.49/10,138.79
  6. Step 6: Final answer
    x = 15,186.37

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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.