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Finding the Fourth Proportional to 24,406.90, 33,681.70 and 13,228.90

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Solution

The fourth proportional to 24,406.90, 33,681.70 and 13,228.90 is: 18,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.90 : 33,681.70 = 13,228.90 : x
  2. Step 2: Convert to fraction form
    24,406.90/33,681.70 = 13,228.90/x
  3. Step 3: Cross multiply
    24,406.90x = 33,681.70 × 13,228.90
  4. Step 4: Simplify right side
    24,406.90x = 445,571,841.13
  5. Step 5: Solve for x
    x = 445,571,841.13/24,406.90
  6. Step 6: Final answer
    x = 18,255.98

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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.