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Finding the Fourth Proportional to 17,838.12, 24,624.72 and 12,737.46

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Solution

The fourth proportional to 17,838.12, 24,624.72 and 12,737.46 is: 17,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.12 : 24,624.72 = 12,737.46 : x
  2. Step 2: Convert to fraction form
    17,838.12/24,624.72 = 12,737.46/x
  3. Step 3: Cross multiply
    17,838.12x = 24,624.72 × 12,737.46
  4. Step 4: Simplify right side
    17,838.12x = 313,656,386.01
  5. Step 5: Solve for x
    x = 313,656,386.01/17,838.12
  6. Step 6: Final answer
    x = 17,583.49

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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.