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Finding the Fourth Proportional to 14,383.32, 21,574.98 and 8,223

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Solution

The fourth proportional to 14,383.32, 21,574.98 and 8,223 is: 12,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.32 : 21,574.98 = 8,223 : x
  2. Step 2: Convert to fraction form
    14,383.32/21,574.98 = 8,223/x
  3. Step 3: Cross multiply
    14,383.32x = 21,574.98 × 8,223
  4. Step 4: Simplify right side
    14,383.32x = 177,411,060.54
  5. Step 5: Solve for x
    x = 177,411,060.54/14,383.32
  6. Step 6: Final answer
    x = 12,334.50

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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.