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Finding the Fourth Proportional to 29,411.04, 40,559.54 and 22,686

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Solution

The fourth proportional to 29,411.04, 40,559.54 and 22,686 is: 31,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411.04 : 40,559.54 = 22,686 : x
  2. Step 2: Convert to fraction form
    29,411.04/40,559.54 = 22,686/x
  3. Step 3: Cross multiply
    29,411.04x = 40,559.54 × 22,686
  4. Step 4: Simplify right side
    29,411.04x = 920,133,724.44
  5. Step 5: Solve for x
    x = 920,133,724.44/29,411.04
  6. Step 6: Final answer
    x = 31,285.32

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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.