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Finding the Fourth Proportional to 22,716, 34,074.32 and 7,133.63

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Solution

The fourth proportional to 22,716, 34,074.32 and 7,133.63 is: 10,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 34,074.32 = 7,133.63 : x
  2. Step 2: Convert to fraction form
    22,716/34,074.32 = 7,133.63/x
  3. Step 3: Cross multiply
    22,716x = 34,074.32 × 7,133.63
  4. Step 4: Simplify right side
    22,716x = 243,073,385.34
  5. Step 5: Solve for x
    x = 243,073,385.34/22,716
  6. Step 6: Final answer
    x = 10,700.54

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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.