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Finding the Fourth Proportional to 22,615.23, 33,925.93 and 7,820.18

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Solution

The fourth proportional to 22,615.23, 33,925.93 and 7,820.18 is: 11,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.23 : 33,925.93 = 7,820.18 : x
  2. Step 2: Convert to fraction form
    22,615.23/33,925.93 = 7,820.18/x
  3. Step 3: Cross multiply
    22,615.23x = 33,925.93 × 7,820.18
  4. Step 4: Simplify right side
    22,615.23x = 265,306,709.64
  5. Step 5: Solve for x
    x = 265,306,709.64/22,615.23
  6. Step 6: Final answer
    x = 11,731.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.