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Finding the Fourth Proportional to 15,598.82, 23,414.43 and 9,037.82

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Solution

The fourth proportional to 15,598.82, 23,414.43 and 9,037.82 is: 13,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.82 : 23,414.43 = 9,037.82 : x
  2. Step 2: Convert to fraction form
    15,598.82/23,414.43 = 9,037.82/x
  3. Step 3: Cross multiply
    15,598.82x = 23,414.43 × 9,037.82
  4. Step 4: Simplify right side
    15,598.82x = 211,615,403.74
  5. Step 5: Solve for x
    x = 211,615,403.74/15,598.82
  6. Step 6: Final answer
    x = 13,566.12

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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.