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Finding the Fourth Proportional to 14,756.96, 22,141.95 and 7,735.29

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Solution

The fourth proportional to 14,756.96, 22,141.95 and 7,735.29 is: 11,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.96 : 22,141.95 = 7,735.29 : x
  2. Step 2: Convert to fraction form
    14,756.96/22,141.95 = 7,735.29/x
  3. Step 3: Cross multiply
    14,756.96x = 22,141.95 × 7,735.29
  4. Step 4: Simplify right side
    14,756.96x = 171,274,404.42
  5. Step 5: Solve for x
    x = 171,274,404.42/14,756.96
  6. Step 6: Final answer
    x = 11,606.35

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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.