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Finding the Fourth Proportional to 20,652.84, 31,134.87 and 19,316.52

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Solution

The fourth proportional to 20,652.84, 31,134.87 and 19,316.52 is: 29,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.84 : 31,134.87 = 19,316.52 : x
  2. Step 2: Convert to fraction form
    20,652.84/31,134.87 = 19,316.52/x
  3. Step 3: Cross multiply
    20,652.84x = 31,134.87 × 19,316.52
  4. Step 4: Simplify right side
    20,652.84x = 601,417,339.05
  5. Step 5: Solve for x
    x = 601,417,339.05/20,652.84
  6. Step 6: Final answer
    x = 29,120.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.