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Finding the Fourth Proportional to 23,952.49, 35,920.09 and 10,102.57

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Solution

The fourth proportional to 23,952.49, 35,920.09 and 10,102.57 is: 15,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.49 : 35,920.09 = 10,102.57 : x
  2. Step 2: Convert to fraction form
    23,952.49/35,920.09 = 10,102.57/x
  3. Step 3: Cross multiply
    23,952.49x = 35,920.09 × 10,102.57
  4. Step 4: Simplify right side
    23,952.49x = 362,885,223.63
  5. Step 5: Solve for x
    x = 362,885,223.63/23,952.49
  6. Step 6: Final answer
    x = 15,150.21

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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.