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Finding the Fourth Proportional to 17,747.11, 24,491.03 and 10,194.90

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Solution

The fourth proportional to 17,747.11, 24,491.03 and 10,194.90 is: 14,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.11 : 24,491.03 = 10,194.90 : x
  2. Step 2: Convert to fraction form
    17,747.11/24,491.03 = 10,194.90/x
  3. Step 3: Cross multiply
    17,747.11x = 24,491.03 × 10,194.90
  4. Step 4: Simplify right side
    17,747.11x = 249,683,627.23
  5. Step 5: Solve for x
    x = 249,683,627.23/17,747.11
  6. Step 6: Final answer
    x = 14,068.98

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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.