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Finding the Fourth Proportional to 14,902.42, 22,355.25 and 5,541.34

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Solution

The fourth proportional to 14,902.42, 22,355.25 and 5,541.34 is: 8,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.42 : 22,355.25 = 5,541.34 : x
  2. Step 2: Convert to fraction form
    14,902.42/22,355.25 = 5,541.34/x
  3. Step 3: Cross multiply
    14,902.42x = 22,355.25 × 5,541.34
  4. Step 4: Simplify right side
    14,902.42x = 123,878,041.04
  5. Step 5: Solve for x
    x = 123,878,041.04/14,902.42
  6. Step 6: Final answer
    x = 8,312.61

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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.