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Finding the Fourth Proportional to 14,922.19, 20,592.79 and 8,207.93

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Solution

The fourth proportional to 14,922.19, 20,592.79 and 8,207.93 is: 11,327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.19 : 20,592.79 = 8,207.93 : x
  2. Step 2: Convert to fraction form
    14,922.19/20,592.79 = 8,207.93/x
  3. Step 3: Cross multiply
    14,922.19x = 20,592.79 × 8,207.93
  4. Step 4: Simplify right side
    14,922.19x = 169,024,075.86
  5. Step 5: Solve for x
    x = 169,024,075.86/14,922.19
  6. Step 6: Final answer
    x = 11,327.03

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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.