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Finding the Fourth Proportional to 15,730.56, 23,595.84 and 5,343.12

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Solution

The fourth proportional to 15,730.56, 23,595.84 and 5,343.12 is: 8,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.56 : 23,595.84 = 5,343.12 : x
  2. Step 2: Convert to fraction form
    15,730.56/23,595.84 = 5,343.12/x
  3. Step 3: Cross multiply
    15,730.56x = 23,595.84 × 5,343.12
  4. Step 4: Simplify right side
    15,730.56x = 126,075,404.62
  5. Step 5: Solve for x
    x = 126,075,404.62/15,730.56
  6. Step 6: Final answer
    x = 8,014.68

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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.