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Finding the Fourth Proportional to 21,235.81, 31,853.90 and 6,444.72

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Solution

The fourth proportional to 21,235.81, 31,853.90 and 6,444.72 is: 9,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,235.81 : 31,853.90 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    21,235.81/31,853.90 = 6,444.72/x
  3. Step 3: Cross multiply
    21,235.81x = 31,853.90 × 6,444.72
  4. Step 4: Simplify right side
    21,235.81x = 205,289,466.41
  5. Step 5: Solve for x
    x = 205,289,466.41/21,235.81
  6. Step 6: Final answer
    x = 9,667.14

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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.