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Finding the Fourth Proportional to 22,253.36, 30,713.40 and 12,827.40

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Solution

The fourth proportional to 22,253.36, 30,713.40 and 12,827.40 is: 17,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.36 : 30,713.40 = 12,827.40 : x
  2. Step 2: Convert to fraction form
    22,253.36/30,713.40 = 12,827.40/x
  3. Step 3: Cross multiply
    22,253.36x = 30,713.40 × 12,827.40
  4. Step 4: Simplify right side
    22,253.36x = 393,973,067.16
  5. Step 5: Solve for x
    x = 393,973,067.16/22,253.36
  6. Step 6: Final answer
    x = 17,703.98

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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.