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Finding the Fourth Proportional to 16,021.92, 24,028.56 and 7,248

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Solution

The fourth proportional to 16,021.92, 24,028.56 and 7,248 is: 10,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.92 : 24,028.56 = 7,248 : x
  2. Step 2: Convert to fraction form
    16,021.92/24,028.56 = 7,248/x
  3. Step 3: Cross multiply
    16,021.92x = 24,028.56 × 7,248
  4. Step 4: Simplify right side
    16,021.92x = 174,159,002.88
  5. Step 5: Solve for x
    x = 174,159,002.88/16,021.92
  6. Step 6: Final answer
    x = 10,870.05

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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.