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Finding the Fourth Proportional to 23,231.51, 32,064.15 and 13,798.25

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Solution

The fourth proportional to 23,231.51, 32,064.15 and 13,798.25 is: 19,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.51 : 32,064.15 = 13,798.25 : x
  2. Step 2: Convert to fraction form
    23,231.51/32,064.15 = 13,798.25/x
  3. Step 3: Cross multiply
    23,231.51x = 32,064.15 × 13,798.25
  4. Step 4: Simplify right side
    23,231.51x = 442,428,997.42
  5. Step 5: Solve for x
    x = 442,428,997.42/23,231.51
  6. Step 6: Final answer
    x = 19,044.35

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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.