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Finding the Fourth Proportional to 15,524.76, 23,279.58 and 5,133

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Solution

The fourth proportional to 15,524.76, 23,279.58 and 5,133 is: 7,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.76 : 23,279.58 = 5,133 : x
  2. Step 2: Convert to fraction form
    15,524.76/23,279.58 = 5,133/x
  3. Step 3: Cross multiply
    15,524.76x = 23,279.58 × 5,133
  4. Step 4: Simplify right side
    15,524.76x = 119,494,084.14
  5. Step 5: Solve for x
    x = 119,494,084.14/15,524.76
  6. Step 6: Final answer
    x = 7,697.00

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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.