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Finding the Fourth Proportional to 24,473.87, 33,771.09 and 14,400.10

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Solution

The fourth proportional to 24,473.87, 33,771.09 and 14,400.10 is: 19,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.87 : 33,771.09 = 14,400.10 : x
  2. Step 2: Convert to fraction form
    24,473.87/33,771.09 = 14,400.10/x
  3. Step 3: Cross multiply
    24,473.87x = 33,771.09 × 14,400.10
  4. Step 4: Simplify right side
    24,473.87x = 486,307,073.11
  5. Step 5: Solve for x
    x = 486,307,073.11/24,473.87
  6. Step 6: Final answer
    x = 19,870.46

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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.