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Finding the Fourth Proportional to 23,808.16, 32,856.06 and 13,197.16

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Solution

The fourth proportional to 23,808.16, 32,856.06 and 13,197.16 is: 18,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.16 : 32,856.06 = 13,197.16 : x
  2. Step 2: Convert to fraction form
    23,808.16/32,856.06 = 13,197.16/x
  3. Step 3: Cross multiply
    23,808.16x = 32,856.06 × 13,197.16
  4. Step 4: Simplify right side
    23,808.16x = 433,606,680.79
  5. Step 5: Solve for x
    x = 433,606,680.79/23,808.16
  6. Step 6: Final answer
    x = 18,212.52

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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.