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Finding the Fourth Proportional to 16,332, 22,538.19 and 9,259.08

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Solution

The fourth proportional to 16,332, 22,538.19 and 9,259.08 is: 12,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332 : 22,538.19 = 9,259.08 : x
  2. Step 2: Convert to fraction form
    16,332/22,538.19 = 9,259.08/x
  3. Step 3: Cross multiply
    16,332x = 22,538.19 × 9,259.08
  4. Step 4: Simplify right side
    16,332x = 208,682,904.27
  5. Step 5: Solve for x
    x = 208,682,904.27/16,332
  6. Step 6: Final answer
    x = 12,777.55

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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.