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Finding the Fourth Proportional to 14,291.86, 19,722.78 and 8,004.24

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Solution

The fourth proportional to 14,291.86, 19,722.78 and 8,004.24 is: 11,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.86 : 19,722.78 = 8,004.24 : x
  2. Step 2: Convert to fraction form
    14,291.86/19,722.78 = 8,004.24/x
  3. Step 3: Cross multiply
    14,291.86x = 19,722.78 × 8,004.24
  4. Step 4: Simplify right side
    14,291.86x = 157,865,864.59
  5. Step 5: Solve for x
    x = 157,865,864.59/14,291.86
  6. Step 6: Final answer
    x = 11,045.86

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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.