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Finding the Fourth Proportional to 22,832.40, 31,492.03 and 15,265.38

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Solution

The fourth proportional to 22,832.40, 31,492.03 and 15,265.38 is: 21,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.40 : 31,492.03 = 15,265.38 : x
  2. Step 2: Convert to fraction form
    22,832.40/31,492.03 = 15,265.38/x
  3. Step 3: Cross multiply
    22,832.40x = 31,492.03 × 15,265.38
  4. Step 4: Simplify right side
    22,832.40x = 480,737,728.59
  5. Step 5: Solve for x
    x = 480,737,728.59/22,832.40
  6. Step 6: Final answer
    x = 21,055.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.