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Finding the Fourth Proportional to 22,403.84, 30,918.06 and 12,332.93

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Solution

The fourth proportional to 22,403.84, 30,918.06 and 12,332.93 is: 17,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.84 : 30,918.06 = 12,332.93 : x
  2. Step 2: Convert to fraction form
    22,403.84/30,918.06 = 12,332.93/x
  3. Step 3: Cross multiply
    22,403.84x = 30,918.06 × 12,332.93
  4. Step 4: Simplify right side
    22,403.84x = 381,310,115.13
  5. Step 5: Solve for x
    x = 381,310,115.13/22,403.84
  6. Step 6: Final answer
    x = 17,019.86

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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.