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Finding the Fourth Proportional to 23,842.08, 32,904.14 and 13,233.76

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Solution

The fourth proportional to 23,842.08, 32,904.14 and 13,233.76 is: 18,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.08 : 32,904.14 = 13,233.76 : x
  2. Step 2: Convert to fraction form
    23,842.08/32,904.14 = 13,233.76/x
  3. Step 3: Cross multiply
    23,842.08x = 32,904.14 × 13,233.76
  4. Step 4: Simplify right side
    23,842.08x = 435,445,491.77
  5. Step 5: Solve for x
    x = 435,445,491.77/23,842.08
  6. Step 6: Final answer
    x = 18,263.74

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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.