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Finding the Fourth Proportional to 24,498.94, 33,807.54 and 14,427.80

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Solution

The fourth proportional to 24,498.94, 33,807.54 and 14,427.80 is: 19,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.94 : 33,807.54 = 14,427.80 : x
  2. Step 2: Convert to fraction form
    24,498.94/33,807.54 = 14,427.80/x
  3. Step 3: Cross multiply
    24,498.94x = 33,807.54 × 14,427.80
  4. Step 4: Simplify right side
    24,498.94x = 487,768,627.62
  5. Step 5: Solve for x
    x = 487,768,627.62/24,498.94
  6. Step 6: Final answer
    x = 19,909.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.