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Finding the Fourth Proportional to 23,597.76, 35,408.95 and 9,568.16

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Solution

The fourth proportional to 23,597.76, 35,408.95 and 9,568.16 is: 14,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.76 : 35,408.95 = 9,568.16 : x
  2. Step 2: Convert to fraction form
    23,597.76/35,408.95 = 9,568.16/x
  3. Step 3: Cross multiply
    23,597.76x = 35,408.95 × 9,568.16
  4. Step 4: Simplify right side
    23,597.76x = 338,798,274.15
  5. Step 5: Solve for x
    x = 338,798,274.15/23,597.76
  6. Step 6: Final answer
    x = 14,357.22

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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.