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Finding the Fourth Proportional to 23,864.01, 35,812.51 and 8,281.63

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Solution

The fourth proportional to 23,864.01, 35,812.51 and 8,281.63 is: 12,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.01 : 35,812.51 = 8,281.63 : x
  2. Step 2: Convert to fraction form
    23,864.01/35,812.51 = 8,281.63/x
  3. Step 3: Cross multiply
    23,864.01x = 35,812.51 × 8,281.63
  4. Step 4: Simplify right side
    23,864.01x = 296,585,957.19
  5. Step 5: Solve for x
    x = 296,585,957.19/23,864.01
  6. Step 6: Final answer
    x = 12,428.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.