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Finding the Fourth Proportional to 15,598.40, 23,367.36 and 7,813.76

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Solution

The fourth proportional to 15,598.40, 23,367.36 and 7,813.76 is: 11,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.40 : 23,367.36 = 7,813.76 : x
  2. Step 2: Convert to fraction form
    15,598.40/23,367.36 = 7,813.76/x
  3. Step 3: Cross multiply
    15,598.40x = 23,367.36 × 7,813.76
  4. Step 4: Simplify right side
    15,598.40x = 182,586,942.87
  5. Step 5: Solve for x
    x = 182,586,942.87/15,598.40
  6. Step 6: Final answer
    x = 11,705.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.