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Finding the Fourth Proportional to 23,599.34, 35,399.11 and 9,559.64

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Solution

The fourth proportional to 23,599.34, 35,399.11 and 9,559.64 is: 14,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.34 : 35,399.11 = 9,559.64 : x
  2. Step 2: Convert to fraction form
    23,599.34/35,399.11 = 9,559.64/x
  3. Step 3: Cross multiply
    23,599.34x = 35,399.11 × 9,559.64
  4. Step 4: Simplify right side
    23,599.34x = 338,402,716.08
  5. Step 5: Solve for x
    x = 338,402,716.08/23,599.34
  6. Step 6: Final answer
    x = 14,339.50

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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.