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Finding the Fourth Proportional to 12,642.13, 18,949.06 and 4,737.04

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Solution

The fourth proportional to 12,642.13, 18,949.06 and 4,737.04 is: 7,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.13 : 18,949.06 = 4,737.04 : x
  2. Step 2: Convert to fraction form
    12,642.13/18,949.06 = 4,737.04/x
  3. Step 3: Cross multiply
    12,642.13x = 18,949.06 × 4,737.04
  4. Step 4: Simplify right side
    12,642.13x = 89,762,455.18
  5. Step 5: Solve for x
    x = 89,762,455.18/12,642.13
  6. Step 6: Final answer
    x = 7,100.26

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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.