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Finding the Fourth Proportional to 22,715.85, 34,074.07 and 7,133.48

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Solution

The fourth proportional to 22,715.85, 34,074.07 and 7,133.48 is: 10,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.85 : 34,074.07 = 7,133.48 : x
  2. Step 2: Convert to fraction form
    22,715.85/34,074.07 = 7,133.48/x
  3. Step 3: Cross multiply
    22,715.85x = 34,074.07 × 7,133.48
  4. Step 4: Simplify right side
    22,715.85x = 243,066,526.49
  5. Step 5: Solve for x
    x = 243,066,526.49/22,715.85
  6. Step 6: Final answer
    x = 10,700.31

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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.