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Finding the Fourth Proportional to 14,967.24, 20,651.76 and 9,375

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Solution

The fourth proportional to 14,967.24, 20,651.76 and 9,375 is: 12,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.24 : 20,651.76 = 9,375 : x
  2. Step 2: Convert to fraction form
    14,967.24/20,651.76 = 9,375/x
  3. Step 3: Cross multiply
    14,967.24x = 20,651.76 × 9,375
  4. Step 4: Simplify right side
    14,967.24x = 193,610,250.00
  5. Step 5: Solve for x
    x = 193,610,250.00/14,967.24
  6. Step 6: Final answer
    x = 12,935.60

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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.