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Finding the Fourth Proportional to 23,823.04, 32,875.20 and 13,212.64

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Solution

The fourth proportional to 23,823.04, 32,875.20 and 13,212.64 is: 18,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.04 : 32,875.20 = 13,212.64 : x
  2. Step 2: Convert to fraction form
    23,823.04/32,875.20 = 13,212.64/x
  3. Step 3: Cross multiply
    23,823.04x = 32,875.20 × 13,212.64
  4. Step 4: Simplify right side
    23,823.04x = 434,368,182.53
  5. Step 5: Solve for x
    x = 434,368,182.53/23,823.04
  6. Step 6: Final answer
    x = 18,233.11

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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.