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Finding the Fourth Proportional to 24,429.40, 33,712.02 and 14,356

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Solution

The fourth proportional to 24,429.40, 33,712.02 and 14,356 is: 19,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.40 : 33,712.02 = 14,356 : x
  2. Step 2: Convert to fraction form
    24,429.40/33,712.02 = 14,356/x
  3. Step 3: Cross multiply
    24,429.40x = 33,712.02 × 14,356
  4. Step 4: Simplify right side
    24,429.40x = 483,969,759.12
  5. Step 5: Solve for x
    x = 483,969,759.12/24,429.40
  6. Step 6: Final answer
    x = 19,810.96

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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.