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Finding the Fourth Proportional to 21,424.98, 32,117.79 and 7,381.67

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Solution

The fourth proportional to 21,424.98, 32,117.79 and 7,381.67 is: 11,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.98 : 32,117.79 = 7,381.67 : x
  2. Step 2: Convert to fraction form
    21,424.98/32,117.79 = 7,381.67/x
  3. Step 3: Cross multiply
    21,424.98x = 32,117.79 × 7,381.67
  4. Step 4: Simplify right side
    21,424.98x = 237,082,766.32
  5. Step 5: Solve for x
    x = 237,082,766.32/21,424.98
  6. Step 6: Final answer
    x = 11,065.72

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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.