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Finding the Fourth Proportional to 22,365.84, 30,864.95 and 12,295.16

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Solution

The fourth proportional to 22,365.84, 30,864.95 and 12,295.16 is: 16,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.84 : 30,864.95 = 12,295.16 : x
  2. Step 2: Convert to fraction form
    22,365.84/30,864.95 = 12,295.16/x
  3. Step 3: Cross multiply
    22,365.84x = 30,864.95 × 12,295.16
  4. Step 4: Simplify right side
    22,365.84x = 379,489,282.84
  5. Step 5: Solve for x
    x = 379,489,282.84/22,365.84
  6. Step 6: Final answer
    x = 16,967.36

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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.