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Finding the Fourth Proportional to 22,358, 30,853.68 and 12,286.46

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Solution

The fourth proportional to 22,358, 30,853.68 and 12,286.46 is: 16,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 30,853.68 = 12,286.46 : x
  2. Step 2: Convert to fraction form
    22,358/30,853.68 = 12,286.46/x
  3. Step 3: Cross multiply
    22,358x = 30,853.68 × 12,286.46
  4. Step 4: Simplify right side
    22,358x = 379,082,505.17
  5. Step 5: Solve for x
    x = 379,082,505.17/22,358
  6. Step 6: Final answer
    x = 16,955.12

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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.