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Finding the Fourth Proportional to 20,898.36, 31,347.72 and 5,316

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Solution

The fourth proportional to 20,898.36, 31,347.72 and 5,316 is: 7,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.36 : 31,347.72 = 5,316 : x
  2. Step 2: Convert to fraction form
    20,898.36/31,347.72 = 5,316/x
  3. Step 3: Cross multiply
    20,898.36x = 31,347.72 × 5,316
  4. Step 4: Simplify right side
    20,898.36x = 166,644,479.52
  5. Step 5: Solve for x
    x = 166,644,479.52/20,898.36
  6. Step 6: Final answer
    x = 7,974.05

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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.