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Finding the Fourth Proportional to 15,775.70, 23,643.45 and 8,383.70

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Solution

The fourth proportional to 15,775.70, 23,643.45 and 8,383.70 is: 12,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.70 : 23,643.45 = 8,383.70 : x
  2. Step 2: Convert to fraction form
    15,775.70/23,643.45 = 8,383.70/x
  3. Step 3: Cross multiply
    15,775.70x = 23,643.45 × 8,383.70
  4. Step 4: Simplify right side
    15,775.70x = 198,219,591.77
  5. Step 5: Solve for x
    x = 198,219,591.77/15,775.70
  6. Step 6: Final answer
    x = 12,564.87

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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.