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Finding the Fourth Proportional to 22,026.12, 30,393 and 12,594.48

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Solution

The fourth proportional to 22,026.12, 30,393 and 12,594.48 is: 17,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.12 : 30,393 = 12,594.48 : x
  2. Step 2: Convert to fraction form
    22,026.12/30,393 = 12,594.48/x
  3. Step 3: Cross multiply
    22,026.12x = 30,393 × 12,594.48
  4. Step 4: Simplify right side
    22,026.12x = 382,784,030.64
  5. Step 5: Solve for x
    x = 382,784,030.64/22,026.12
  6. Step 6: Final answer
    x = 17,378.64

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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.