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Finding the Fourth Proportional to 22,494.69, 31,041.10 and 12,423.04

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Solution

The fourth proportional to 22,494.69, 31,041.10 and 12,423.04 is: 17,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.69 : 31,041.10 = 12,423.04 : x
  2. Step 2: Convert to fraction form
    22,494.69/31,041.10 = 12,423.04/x
  3. Step 3: Cross multiply
    22,494.69x = 31,041.10 × 12,423.04
  4. Step 4: Simplify right side
    22,494.69x = 385,624,671.74
  5. Step 5: Solve for x
    x = 385,624,671.74/22,494.69
  6. Step 6: Final answer
    x = 17,142.92

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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.