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Finding the Fourth Proportional to 14,762.59, 22,156.68 and 7,747.56

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Solution

The fourth proportional to 14,762.59, 22,156.68 and 7,747.56 is: 11,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.59 : 22,156.68 = 7,747.56 : x
  2. Step 2: Convert to fraction form
    14,762.59/22,156.68 = 7,747.56/x
  3. Step 3: Cross multiply
    14,762.59x = 22,156.68 × 7,747.56
  4. Step 4: Simplify right side
    14,762.59x = 171,660,227.07
  5. Step 5: Solve for x
    x = 171,660,227.07/14,762.59
  6. Step 6: Final answer
    x = 11,628.06

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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.