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Finding the Fourth Proportional to 16,510.48, 24,772.20 and 7,270

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Solution

The fourth proportional to 16,510.48, 24,772.20 and 7,270 is: 10,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.48 : 24,772.20 = 7,270 : x
  2. Step 2: Convert to fraction form
    16,510.48/24,772.20 = 7,270/x
  3. Step 3: Cross multiply
    16,510.48x = 24,772.20 × 7,270
  4. Step 4: Simplify right side
    16,510.48x = 180,093,894
  5. Step 5: Solve for x
    x = 180,093,894/16,510.48
  6. Step 6: Final answer
    x = 10,907.85

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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.