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Finding the Fourth Proportional to 16,223.16, 24,219.51 and 15,647.16

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Solution

The fourth proportional to 16,223.16, 24,219.51 and 15,647.16 is: 23,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.16 : 24,219.51 = 15,647.16 : x
  2. Step 2: Convert to fraction form
    16,223.16/24,219.51 = 15,647.16/x
  3. Step 3: Cross multiply
    16,223.16x = 24,219.51 × 15,647.16
  4. Step 4: Simplify right side
    16,223.16x = 378,966,548.09
  5. Step 5: Solve for x
    x = 378,966,548.09/16,223.16
  6. Step 6: Final answer
    x = 23,359.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.