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Finding the Fourth Proportional to 23,411.40, 32,309.92 and 12,802.60

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Solution

The fourth proportional to 23,411.40, 32,309.92 and 12,802.60 is: 17,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.40 : 32,309.92 = 12,802.60 : x
  2. Step 2: Convert to fraction form
    23,411.40/32,309.92 = 12,802.60/x
  3. Step 3: Cross multiply
    23,411.40x = 32,309.92 × 12,802.60
  4. Step 4: Simplify right side
    23,411.40x = 413,650,981.79
  5. Step 5: Solve for x
    x = 413,650,981.79/23,411.40
  6. Step 6: Final answer
    x = 17,668.78

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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.