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Finding the Fourth Proportional to 14,223.72, 19,623.96 and 8,253.24

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Solution

The fourth proportional to 14,223.72, 19,623.96 and 8,253.24 is: 11,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.72 : 19,623.96 = 8,253.24 : x
  2. Step 2: Convert to fraction form
    14,223.72/19,623.96 = 8,253.24/x
  3. Step 3: Cross multiply
    14,223.72x = 19,623.96 × 8,253.24
  4. Step 4: Simplify right side
    14,223.72x = 161,961,251.63
  5. Step 5: Solve for x
    x = 161,961,251.63/14,223.72
  6. Step 6: Final answer
    x = 11,386.70

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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.