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Finding the Fourth Proportional to 21,111.56, 31,678.18 and 9,432.44

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Solution

The fourth proportional to 21,111.56, 31,678.18 and 9,432.44 is: 14,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111.56 : 31,678.18 = 9,432.44 : x
  2. Step 2: Convert to fraction form
    21,111.56/31,678.18 = 9,432.44/x
  3. Step 3: Cross multiply
    21,111.56x = 31,678.18 × 9,432.44
  4. Step 4: Simplify right side
    21,111.56x = 298,802,532.16
  5. Step 5: Solve for x
    x = 298,802,532.16/21,111.56
  6. Step 6: Final answer
    x = 14,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.