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Finding the Fourth Proportional to 24,315.86, 33,557.02 and 13,705.94

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Solution

The fourth proportional to 24,315.86, 33,557.02 and 13,705.94 is: 18,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.86 : 33,557.02 = 13,705.94 : x
  2. Step 2: Convert to fraction form
    24,315.86/33,557.02 = 13,705.94/x
  3. Step 3: Cross multiply
    24,315.86x = 33,557.02 × 13,705.94
  4. Step 4: Simplify right side
    24,315.86x = 459,930,502.70
  5. Step 5: Solve for x
    x = 459,930,502.70/24,315.86
  6. Step 6: Final answer
    x = 18,914.84

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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.