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Finding the Fourth Proportional to 21,024.96, 31,538.16 and 6,985.68

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Solution

The fourth proportional to 21,024.96, 31,538.16 and 6,985.68 is: 10,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.96 : 31,538.16 = 6,985.68 : x
  2. Step 2: Convert to fraction form
    21,024.96/31,538.16 = 6,985.68/x
  3. Step 3: Cross multiply
    21,024.96x = 31,538.16 × 6,985.68
  4. Step 4: Simplify right side
    21,024.96x = 220,315,493.55
  5. Step 5: Solve for x
    x = 220,315,493.55/21,024.96
  6. Step 6: Final answer
    x = 10,478.76

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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.