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Finding the Fourth Proportional to 24,459.40, 33,754.34 and 13,281.48

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Solution

The fourth proportional to 24,459.40, 33,754.34 and 13,281.48 is: 18,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.40 : 33,754.34 = 13,281.48 : x
  2. Step 2: Convert to fraction form
    24,459.40/33,754.34 = 13,281.48/x
  3. Step 3: Cross multiply
    24,459.40x = 33,754.34 × 13,281.48
  4. Step 4: Simplify right side
    24,459.40x = 448,307,591.62
  5. Step 5: Solve for x
    x = 448,307,591.62/24,459.40
  6. Step 6: Final answer
    x = 18,328.64

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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.