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Finding the Fourth Proportional to 22,587.42, 33,878.70 and 13,807.02

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Solution

The fourth proportional to 22,587.42, 33,878.70 and 13,807.02 is: 20,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,587.42 : 33,878.70 = 13,807.02 : x
  2. Step 2: Convert to fraction form
    22,587.42/33,878.70 = 13,807.02/x
  3. Step 3: Cross multiply
    22,587.42x = 33,878.70 × 13,807.02
  4. Step 4: Simplify right side
    22,587.42x = 467,763,888.47
  5. Step 5: Solve for x
    x = 467,763,888.47/22,587.42
  6. Step 6: Final answer
    x = 20,709.04

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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.