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Finding the Fourth Proportional to 15,522.42, 23,277.94 and 5,658.78

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Solution

The fourth proportional to 15,522.42, 23,277.94 and 5,658.78 is: 8,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522.42 : 23,277.94 = 5,658.78 : x
  2. Step 2: Convert to fraction form
    15,522.42/23,277.94 = 5,658.78/x
  3. Step 3: Cross multiply
    15,522.42x = 23,277.94 × 5,658.78
  4. Step 4: Simplify right side
    15,522.42x = 131,724,741.31
  5. Step 5: Solve for x
    x = 131,724,741.31/15,522.42
  6. Step 6: Final answer
    x = 8,486.10

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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.