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Finding the Fourth Proportional to 23,530.54, 35,300.32 and 9,491.98

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Solution

The fourth proportional to 23,530.54, 35,300.32 and 9,491.98 is: 14,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.54 : 35,300.32 = 9,491.98 : x
  2. Step 2: Convert to fraction form
    23,530.54/35,300.32 = 9,491.98/x
  3. Step 3: Cross multiply
    23,530.54x = 35,300.32 × 9,491.98
  4. Step 4: Simplify right side
    23,530.54x = 335,069,931.43
  5. Step 5: Solve for x
    x = 335,069,931.43/23,530.54
  6. Step 6: Final answer
    x = 14,239.79

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