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Finding the Fourth Proportional to 21,869.64, 32,809.22 and 7,080.06

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Solution

The fourth proportional to 21,869.64, 32,809.22 and 7,080.06 is: 10,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,869.64 : 32,809.22 = 7,080.06 : x
  2. Step 2: Convert to fraction form
    21,869.64/32,809.22 = 7,080.06/x
  3. Step 3: Cross multiply
    21,869.64x = 32,809.22 × 7,080.06
  4. Step 4: Simplify right side
    21,869.64x = 232,291,246.15
  5. Step 5: Solve for x
    x = 232,291,246.15/21,869.64
  6. Step 6: Final answer
    x = 10,621.63

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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.