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Finding the Fourth Proportional to 15,946.21, 22,005.78 and 9,232.20

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Solution

The fourth proportional to 15,946.21, 22,005.78 and 9,232.20 is: 12,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.21 : 22,005.78 = 9,232.20 : x
  2. Step 2: Convert to fraction form
    15,946.21/22,005.78 = 9,232.20/x
  3. Step 3: Cross multiply
    15,946.21x = 22,005.78 × 9,232.20
  4. Step 4: Simplify right side
    15,946.21x = 203,161,762.12
  5. Step 5: Solve for x
    x = 203,161,762.12/15,946.21
  6. Step 6: Final answer
    x = 12,740.44

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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.