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Finding the Fourth Proportional to 16,549.21, 22,838.20 and 9,839.98

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Solution

The fourth proportional to 16,549.21, 22,838.20 and 9,839.98 is: 13,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.21 : 22,838.20 = 9,839.98 : x
  2. Step 2: Convert to fraction form
    16,549.21/22,838.20 = 9,839.98/x
  3. Step 3: Cross multiply
    16,549.21x = 22,838.20 × 9,839.98
  4. Step 4: Simplify right side
    16,549.21x = 224,727,490.53
  5. Step 5: Solve for x
    x = 224,727,490.53/16,549.21
  6. Step 6: Final answer
    x = 13,579.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.