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Finding the Fourth Proportional to 23,412.30, 32,309.43 and 12,802.62

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Solution

The fourth proportional to 23,412.30, 32,309.43 and 12,802.62 is: 17,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.30 : 32,309.43 = 12,802.62 : x
  2. Step 2: Convert to fraction form
    23,412.30/32,309.43 = 12,802.62/x
  3. Step 3: Cross multiply
    23,412.30x = 32,309.43 × 12,802.62
  4. Step 4: Simplify right side
    23,412.30x = 413,645,354.71
  5. Step 5: Solve for x
    x = 413,645,354.71/23,412.30
  6. Step 6: Final answer
    x = 17,667.86

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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.