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Finding the Fourth Proportional to 23,212.74, 32,032.69 and 12,602.14

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Solution

The fourth proportional to 23,212.74, 32,032.69 and 12,602.14 is: 17,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.74 : 32,032.69 = 12,602.14 : x
  2. Step 2: Convert to fraction form
    23,212.74/32,032.69 = 12,602.14/x
  3. Step 3: Cross multiply
    23,212.74x = 32,032.69 × 12,602.14
  4. Step 4: Simplify right side
    23,212.74x = 403,680,443.96
  5. Step 5: Solve for x
    x = 403,680,443.96/23,212.74
  6. Step 6: Final answer
    x = 17,390.47

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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.