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Finding the Fourth Proportional to 22,113.91, 33,117.46 and 13,783.47

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Solution

The fourth proportional to 22,113.91, 33,117.46 and 13,783.47 is: 20,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.91 : 33,117.46 = 13,783.47 : x
  2. Step 2: Convert to fraction form
    22,113.91/33,117.46 = 13,783.47/x
  3. Step 3: Cross multiply
    22,113.91x = 33,117.46 × 13,783.47
  4. Step 4: Simplify right side
    22,113.91x = 456,473,357.74
  5. Step 5: Solve for x
    x = 456,473,357.74/22,113.91
  6. Step 6: Final answer
    x = 20,641.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.