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Finding the Fourth Proportional to 15,889.50, 23,823.72 and 7,570.80

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Solution

The fourth proportional to 15,889.50, 23,823.72 and 7,570.80 is: 11,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.50 : 23,823.72 = 7,570.80 : x
  2. Step 2: Convert to fraction form
    15,889.50/23,823.72 = 7,570.80/x
  3. Step 3: Cross multiply
    15,889.50x = 23,823.72 × 7,570.80
  4. Step 4: Simplify right side
    15,889.50x = 180,364,619.38
  5. Step 5: Solve for x
    x = 180,364,619.38/15,889.50
  6. Step 6: Final answer
    x = 11,351.18

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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.