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Finding the Fourth Proportional to 23,231.32, 32,055.06 and 13,802.20

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Solution

The fourth proportional to 23,231.32, 32,055.06 and 13,802.20 is: 19,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.32 : 32,055.06 = 13,802.20 : x
  2. Step 2: Convert to fraction form
    23,231.32/32,055.06 = 13,802.20/x
  3. Step 3: Cross multiply
    23,231.32x = 32,055.06 × 13,802.20
  4. Step 4: Simplify right side
    23,231.32x = 442,430,349.13
  5. Step 5: Solve for x
    x = 442,430,349.13/23,231.32
  6. Step 6: Final answer
    x = 19,044.56

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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.