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Finding the Fourth Proportional to 21,208.42, 31,790.76 and 9,524.98

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Solution

The fourth proportional to 21,208.42, 31,790.76 and 9,524.98 is: 14,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.42 : 31,790.76 = 9,524.98 : x
  2. Step 2: Convert to fraction form
    21,208.42/31,790.76 = 9,524.98/x
  3. Step 3: Cross multiply
    21,208.42x = 31,790.76 × 9,524.98
  4. Step 4: Simplify right side
    21,208.42x = 302,806,353.18
  5. Step 5: Solve for x
    x = 302,806,353.18/21,208.42
  6. Step 6: Final answer
    x = 14,277.65

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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.