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Finding the Fourth Proportional to 22,832.25, 31,509.71 and 13,878.30

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Solution

The fourth proportional to 22,832.25, 31,509.71 and 13,878.30 is: 19,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.25 : 31,509.71 = 13,878.30 : x
  2. Step 2: Convert to fraction form
    22,832.25/31,509.71 = 13,878.30/x
  3. Step 3: Cross multiply
    22,832.25x = 31,509.71 × 13,878.30
  4. Step 4: Simplify right side
    22,832.25x = 437,301,138.90
  5. Step 5: Solve for x
    x = 437,301,138.90/22,832.25
  6. Step 6: Final answer
    x = 19,152.78

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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.