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Finding the Fourth Proportional to 20,530.51, 30,775.78 and 10,000.10

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Solution

The fourth proportional to 20,530.51, 30,775.78 and 10,000.10 is: 14,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.51 : 30,775.78 = 10,000.10 : x
  2. Step 2: Convert to fraction form
    20,530.51/30,775.78 = 10,000.10/x
  3. Step 3: Cross multiply
    20,530.51x = 30,775.78 × 10,000.10
  4. Step 4: Simplify right side
    20,530.51x = 307,760,967.02
  5. Step 5: Solve for x
    x = 307,760,967.02/20,530.51
  6. Step 6: Final answer
    x = 14,990.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.