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Finding the Fourth Proportional to 15,772.56, 23,657.40 and 5,383.68

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Solution

The fourth proportional to 15,772.56, 23,657.40 and 5,383.68 is: 8,075.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.56 : 23,657.40 = 5,383.68 : x
  2. Step 2: Convert to fraction form
    15,772.56/23,657.40 = 5,383.68/x
  3. Step 3: Cross multiply
    15,772.56x = 23,657.40 × 5,383.68
  4. Step 4: Simplify right side
    15,772.56x = 127,363,871.23
  5. Step 5: Solve for x
    x = 127,363,871.23/15,772.56
  6. Step 6: Final answer
    x = 8,075.03

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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.