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Finding the Fourth Proportional to 21,186.24, 31,774.00 and 8,709.71

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Solution

The fourth proportional to 21,186.24, 31,774.00 and 8,709.71 is: 13,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.24 : 31,774.00 = 8,709.71 : x
  2. Step 2: Convert to fraction form
    21,186.24/31,774.00 = 8,709.71/x
  3. Step 3: Cross multiply
    21,186.24x = 31,774.00 × 8,709.71
  4. Step 4: Simplify right side
    21,186.24x = 276,742,281.99
  5. Step 5: Solve for x
    x = 276,742,281.99/21,186.24
  6. Step 6: Final answer
    x = 13,062.36

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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.