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Finding the Fourth Proportional to 16,494.81, 22,767.03 and 9,425.40

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Solution

The fourth proportional to 16,494.81, 22,767.03 and 9,425.40 is: 13,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.81 : 22,767.03 = 9,425.40 : x
  2. Step 2: Convert to fraction form
    16,494.81/22,767.03 = 9,425.40/x
  3. Step 3: Cross multiply
    16,494.81x = 22,767.03 × 9,425.40
  4. Step 4: Simplify right side
    16,494.81x = 214,588,364.56
  5. Step 5: Solve for x
    x = 214,588,364.56/16,494.81
  6. Step 6: Final answer
    x = 13,009.45

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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.