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Finding the Fourth Proportional to 14,394.71, 19,864.54 and 8,021.23

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Solution

The fourth proportional to 14,394.71, 19,864.54 and 8,021.23 is: 11,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.71 : 19,864.54 = 8,021.23 : x
  2. Step 2: Convert to fraction form
    14,394.71/19,864.54 = 8,021.23/x
  3. Step 3: Cross multiply
    14,394.71x = 19,864.54 × 8,021.23
  4. Step 4: Simplify right side
    14,394.71x = 159,338,004.55
  5. Step 5: Solve for x
    x = 159,338,004.55/14,394.71
  6. Step 6: Final answer
    x = 11,069.20

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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.