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Finding the Fourth Proportional to 12,042.18, 18,056.34 and 4,640.40

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Solution

The fourth proportional to 12,042.18, 18,056.34 and 4,640.40 is: 6,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.18 : 18,056.34 = 4,640.40 : x
  2. Step 2: Convert to fraction form
    12,042.18/18,056.34 = 4,640.40/x
  3. Step 3: Cross multiply
    12,042.18x = 18,056.34 × 4,640.40
  4. Step 4: Simplify right side
    12,042.18x = 83,788,640.14
  5. Step 5: Solve for x
    x = 83,788,640.14/12,042.18
  6. Step 6: Final answer
    x = 6,957.93

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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.