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Finding the Fourth Proportional to 21,807.72, 32,716.80 and 7,018.02

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Solution

The fourth proportional to 21,807.72, 32,716.80 and 7,018.02 is: 10,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.72 : 32,716.80 = 7,018.02 : x
  2. Step 2: Convert to fraction form
    21,807.72/32,716.80 = 7,018.02/x
  3. Step 3: Cross multiply
    21,807.72x = 32,716.80 × 7,018.02
  4. Step 4: Simplify right side
    21,807.72x = 229,607,156.74
  5. Step 5: Solve for x
    x = 229,607,156.74/21,807.72
  6. Step 6: Final answer
    x = 10,528.71

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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.