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Finding the Fourth Proportional to 22,697.84, 31,318.38 and 13,264.58

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Solution

The fourth proportional to 22,697.84, 31,318.38 and 13,264.58 is: 18,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.84 : 31,318.38 = 13,264.58 : x
  2. Step 2: Convert to fraction form
    22,697.84/31,318.38 = 13,264.58/x
  3. Step 3: Cross multiply
    22,697.84x = 31,318.38 × 13,264.58
  4. Step 4: Simplify right side
    22,697.84x = 415,425,000.39
  5. Step 5: Solve for x
    x = 415,425,000.39/22,697.84
  6. Step 6: Final answer
    x = 18,302.41

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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.