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Finding the Fourth Proportional to 14,381.13, 19,845.76 and 8,332.19

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Solution

The fourth proportional to 14,381.13, 19,845.76 and 8,332.19 is: 11,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.13 : 19,845.76 = 8,332.19 : x
  2. Step 2: Convert to fraction form
    14,381.13/19,845.76 = 8,332.19/x
  3. Step 3: Cross multiply
    14,381.13x = 19,845.76 × 8,332.19
  4. Step 4: Simplify right side
    14,381.13x = 165,358,671.80
  5. Step 5: Solve for x
    x = 165,358,671.80/14,381.13
  6. Step 6: Final answer
    x = 11,498.31

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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.