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Finding the Fourth Proportional to 23,215.30, 32,035.16 and 13,655.47

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Solution

The fourth proportional to 23,215.30, 32,035.16 and 13,655.47 is: 18,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.30 : 32,035.16 = 13,655.47 : x
  2. Step 2: Convert to fraction form
    23,215.30/32,035.16 = 13,655.47/x
  3. Step 3: Cross multiply
    23,215.30x = 32,035.16 × 13,655.47
  4. Step 4: Simplify right side
    23,215.30x = 437,455,166.33
  5. Step 5: Solve for x
    x = 437,455,166.33/23,215.30
  6. Step 6: Final answer
    x = 18,843.40

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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.