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Finding the Fourth Proportional to 22,295.29, 30,744.54 and 15,578.47

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Solution

The fourth proportional to 22,295.29, 30,744.54 and 15,578.47 is: 21,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.29 : 30,744.54 = 15,578.47 : x
  2. Step 2: Convert to fraction form
    22,295.29/30,744.54 = 15,578.47/x
  3. Step 3: Cross multiply
    22,295.29x = 30,744.54 × 15,578.47
  4. Step 4: Simplify right side
    22,295.29x = 478,952,894.05
  5. Step 5: Solve for x
    x = 478,952,894.05/22,295.29
  6. Step 6: Final answer
    x = 21,482.25

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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.