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Finding the Fourth Proportional to 22,007.40, 32,984.10 and 14,987.40

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Solution

The fourth proportional to 22,007.40, 32,984.10 and 14,987.40 is: 22,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.40 : 32,984.10 = 14,987.40 : x
  2. Step 2: Convert to fraction form
    22,007.40/32,984.10 = 14,987.40/x
  3. Step 3: Cross multiply
    22,007.40x = 32,984.10 × 14,987.40
  4. Step 4: Simplify right side
    22,007.40x = 494,345,900.34
  5. Step 5: Solve for x
    x = 494,345,900.34/22,007.40
  6. Step 6: Final answer
    x = 22,462.71

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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.