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Finding the Fourth Proportional to 16,423.17, 22,664.00 and 9,349.59

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Solution

The fourth proportional to 16,423.17, 22,664.00 and 9,349.59 is: 12,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.17 : 22,664.00 = 9,349.59 : x
  2. Step 2: Convert to fraction form
    16,423.17/22,664.00 = 9,349.59/x
  3. Step 3: Cross multiply
    16,423.17x = 22,664.00 × 9,349.59
  4. Step 4: Simplify right side
    16,423.17x = 211,899,216.12
  5. Step 5: Solve for x
    x = 211,899,216.12/16,423.17
  6. Step 6: Final answer
    x = 12,902.45

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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.