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Finding the Fourth Proportional to 15,911.53, 23,830.95 and 7,597.39

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Solution

The fourth proportional to 15,911.53, 23,830.95 and 7,597.39 is: 11,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.53 : 23,830.95 = 7,597.39 : x
  2. Step 2: Convert to fraction form
    15,911.53/23,830.95 = 7,597.39/x
  3. Step 3: Cross multiply
    15,911.53x = 23,830.95 × 7,597.39
  4. Step 4: Simplify right side
    15,911.53x = 181,053,021.22
  5. Step 5: Solve for x
    x = 181,053,021.22/15,911.53
  6. Step 6: Final answer
    x = 11,378.73

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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.