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Finding the Fourth Proportional to 17,491.74, 24,138.74 and 10,321.80

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Solution

The fourth proportional to 17,491.74, 24,138.74 and 10,321.80 is: 14,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.74 : 24,138.74 = 10,321.80 : x
  2. Step 2: Convert to fraction form
    17,491.74/24,138.74 = 10,321.80/x
  3. Step 3: Cross multiply
    17,491.74x = 24,138.74 × 10,321.80
  4. Step 4: Simplify right side
    17,491.74x = 249,155,246.53
  5. Step 5: Solve for x
    x = 249,155,246.53/17,491.74
  6. Step 6: Final answer
    x = 14,244.17

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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.