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Finding the Fourth Proportional to 15,924.82, 23,869.32 and 7,598.02

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Solution

The fourth proportional to 15,924.82, 23,869.32 and 7,598.02 is: 11,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.82 : 23,869.32 = 7,598.02 : x
  2. Step 2: Convert to fraction form
    15,924.82/23,869.32 = 7,598.02/x
  3. Step 3: Cross multiply
    15,924.82x = 23,869.32 × 7,598.02
  4. Step 4: Simplify right side
    15,924.82x = 181,359,570.75
  5. Step 5: Solve for x
    x = 181,359,570.75/15,924.82
  6. Step 6: Final answer
    x = 11,388.48

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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.