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Finding the Fourth Proportional to 22,495.14, 31,043.04 and 12,423.38

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Solution

The fourth proportional to 22,495.14, 31,043.04 and 12,423.38 is: 17,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.14 : 31,043.04 = 12,423.38 : x
  2. Step 2: Convert to fraction form
    22,495.14/31,043.04 = 12,423.38/x
  3. Step 3: Cross multiply
    22,495.14x = 31,043.04 × 12,423.38
  4. Step 4: Simplify right side
    22,495.14x = 385,659,482.28
  5. Step 5: Solve for x
    x = 385,659,482.28/22,495.14
  6. Step 6: Final answer
    x = 17,144.12

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1.5x scale

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.