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Finding the Fourth Proportional to 24,274.66, 36,414 and 6,507.84

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Solution

The fourth proportional to 24,274.66, 36,414 and 6,507.84 is: 9,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.66 : 36,414 = 6,507.84 : x
  2. Step 2: Convert to fraction form
    24,274.66/36,414 = 6,507.84/x
  3. Step 3: Cross multiply
    24,274.66x = 36,414 × 6,507.84
  4. Step 4: Simplify right side
    24,274.66x = 236,976,485.76
  5. Step 5: Solve for x
    x = 236,976,485.76/24,274.66
  6. Step 6: Final answer
    x = 9,762.30

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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.