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Finding the Fourth Proportional to 23,897.82, 32,969.76 and 15,399.30

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Solution

The fourth proportional to 23,897.82, 32,969.76 and 15,399.30 is: 21,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.82 : 32,969.76 = 15,399.30 : x
  2. Step 2: Convert to fraction form
    23,897.82/32,969.76 = 15,399.30/x
  3. Step 3: Cross multiply
    23,897.82x = 32,969.76 × 15,399.30
  4. Step 4: Simplify right side
    23,897.82x = 507,711,225.17
  5. Step 5: Solve for x
    x = 507,711,225.17/23,897.82
  6. Step 6: Final answer
    x = 21,245.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.