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Finding the Fourth Proportional to 21,406.70, 32,110.05 and 9,742.70

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Solution

The fourth proportional to 21,406.70, 32,110.05 and 9,742.70 is: 14,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.70 : 32,110.05 = 9,742.70 : x
  2. Step 2: Convert to fraction form
    21,406.70/32,110.05 = 9,742.70/x
  3. Step 3: Cross multiply
    21,406.70x = 32,110.05 × 9,742.70
  4. Step 4: Simplify right side
    21,406.70x = 312,838,584.14
  5. Step 5: Solve for x
    x = 312,838,584.14/21,406.70
  6. Step 6: Final answer
    x = 14,614.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.