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Finding the Fourth Proportional to 21,007.16, 31,491.27 and 7,849.52

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Solution

The fourth proportional to 21,007.16, 31,491.27 and 7,849.52 is: 11,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.16 : 31,491.27 = 7,849.52 : x
  2. Step 2: Convert to fraction form
    21,007.16/31,491.27 = 7,849.52/x
  3. Step 3: Cross multiply
    21,007.16x = 31,491.27 × 7,849.52
  4. Step 4: Simplify right side
    21,007.16x = 247,191,353.69
  5. Step 5: Solve for x
    x = 247,191,353.69/21,007.16
  6. Step 6: Final answer
    x = 11,767.00

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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.