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Finding the Fourth Proportional to 24,178.69, 36,261.01 and 10,138.33

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Solution

The fourth proportional to 24,178.69, 36,261.01 and 10,138.33 is: 15,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.69 : 36,261.01 = 10,138.33 : x
  2. Step 2: Convert to fraction form
    24,178.69/36,261.01 = 10,138.33/x
  3. Step 3: Cross multiply
    24,178.69x = 36,261.01 × 10,138.33
  4. Step 4: Simplify right side
    24,178.69x = 367,626,085.51
  5. Step 5: Solve for x
    x = 367,626,085.51/24,178.69
  6. Step 6: Final answer
    x = 15,204.55

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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.