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Finding the Fourth Proportional to 21,802.16, 32,700.17 and 7,009.20

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Solution

The fourth proportional to 21,802.16, 32,700.17 and 7,009.20 is: 10,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.16 : 32,700.17 = 7,009.20 : x
  2. Step 2: Convert to fraction form
    21,802.16/32,700.17 = 7,009.20/x
  3. Step 3: Cross multiply
    21,802.16x = 32,700.17 × 7,009.20
  4. Step 4: Simplify right side
    21,802.16x = 229,202,049.09
  5. Step 5: Solve for x
    x = 229,202,049.09/21,802.16
  6. Step 6: Final answer
    x = 10,512.81

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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.