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Finding the Fourth Proportional to 21,351.80, 32,006.10 and 9,673.40

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Solution

The fourth proportional to 21,351.80, 32,006.10 and 9,673.40 is: 14,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.80 : 32,006.10 = 9,673.40 : x
  2. Step 2: Convert to fraction form
    21,351.80/32,006.10 = 9,673.40/x
  3. Step 3: Cross multiply
    21,351.80x = 32,006.10 × 9,673.40
  4. Step 4: Simplify right side
    21,351.80x = 309,607,807.74
  5. Step 5: Solve for x
    x = 309,607,807.74/21,351.80
  6. Step 6: Final answer
    x = 14,500.31

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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.