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Finding the Fourth Proportional to 23,476.02, 35,215.31 and 5,946

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Solution

The fourth proportional to 23,476.02, 35,215.31 and 5,946 is: 8,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,476.02 : 35,215.31 = 5,946 : x
  2. Step 2: Convert to fraction form
    23,476.02/35,215.31 = 5,946/x
  3. Step 3: Cross multiply
    23,476.02x = 35,215.31 × 5,946
  4. Step 4: Simplify right side
    23,476.02x = 209,390,248.13
  5. Step 5: Solve for x
    x = 209,390,248.13/23,476.02
  6. Step 6: Final answer
    x = 8,919.32

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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.