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Finding the Fourth Proportional to 22,792, 31,449.16 and 15,226.20

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Solution

The fourth proportional to 22,792, 31,449.16 and 15,226.20 is: 21,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792 : 31,449.16 = 15,226.20 : x
  2. Step 2: Convert to fraction form
    22,792/31,449.16 = 15,226.20/x
  3. Step 3: Cross multiply
    22,792x = 31,449.16 × 15,226.20
  4. Step 4: Simplify right side
    22,792x = 478,851,199.99
  5. Step 5: Solve for x
    x = 478,851,199.99/22,792
  6. Step 6: Final answer
    x = 21,009.62

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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.