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Finding the Fourth Proportional to 29,693.10, 40,976.40 and 16,264.36

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Solution

The fourth proportional to 29,693.10, 40,976.40 and 16,264.36 is: 22,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.10 : 40,976.40 = 16,264.36 : x
  2. Step 2: Convert to fraction form
    29,693.10/40,976.40 = 16,264.36/x
  3. Step 3: Cross multiply
    29,693.10x = 40,976.40 × 16,264.36
  4. Step 4: Simplify right side
    29,693.10x = 666,454,921.10
  5. Step 5: Solve for x
    x = 666,454,921.10/29,693.10
  6. Step 6: Final answer
    x = 22,444.77

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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.