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Finding the Fourth Proportional to 23,862.30, 35,784.33 and 7,848.11

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Solution

The fourth proportional to 23,862.30, 35,784.33 and 7,848.11 is: 11,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.30 : 35,784.33 = 7,848.11 : x
  2. Step 2: Convert to fraction form
    23,862.30/35,784.33 = 7,848.11/x
  3. Step 3: Cross multiply
    23,862.30x = 35,784.33 × 7,848.11
  4. Step 4: Simplify right side
    23,862.30x = 280,839,358.12
  5. Step 5: Solve for x
    x = 280,839,358.12/23,862.30
  6. Step 6: Final answer
    x = 11,769.17

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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.