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Finding the Fourth Proportional to 21,234, 31,849.74 and 6,443.04

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Solution

The fourth proportional to 21,234, 31,849.74 and 6,443.04 is: 9,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234 : 31,849.74 = 6,443.04 : x
  2. Step 2: Convert to fraction form
    21,234/31,849.74 = 6,443.04/x
  3. Step 3: Cross multiply
    21,234x = 31,849.74 × 6,443.04
  4. Step 4: Simplify right side
    21,234x = 205,209,148.81
  5. Step 5: Solve for x
    x = 205,209,148.81/21,234
  6. Step 6: Final answer
    x = 9,664.18

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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.