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Finding the Fourth Proportional to 14,284.89, 19,722.89 and 8,909.42

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Solution

The fourth proportional to 14,284.89, 19,722.89 and 8,909.42 is: 12,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.89 : 19,722.89 = 8,909.42 : x
  2. Step 2: Convert to fraction form
    14,284.89/19,722.89 = 8,909.42/x
  3. Step 3: Cross multiply
    14,284.89x = 19,722.89 × 8,909.42
  4. Step 4: Simplify right side
    14,284.89x = 175,719,510.62
  5. Step 5: Solve for x
    x = 175,719,510.62/14,284.89
  6. Step 6: Final answer
    x = 12,301.08

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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.