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Finding the Fourth Proportional to 16,616.23, 22,931.75 and 9,448.39

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Solution

The fourth proportional to 16,616.23, 22,931.75 and 9,448.39 is: 13,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.23 : 22,931.75 = 9,448.39 : x
  2. Step 2: Convert to fraction form
    16,616.23/22,931.75 = 9,448.39/x
  3. Step 3: Cross multiply
    16,616.23x = 22,931.75 × 9,448.39
  4. Step 4: Simplify right side
    16,616.23x = 216,668,083.67
  5. Step 5: Solve for x
    x = 216,668,083.67/16,616.23
  6. Step 6: Final answer
    x = 13,039.55

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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.