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Finding the Fourth Proportional to 24,592.49, 36,892.35 and 7,946.99

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Solution

The fourth proportional to 24,592.49, 36,892.35 and 7,946.99 is: 11,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.49 : 36,892.35 = 7,946.99 : x
  2. Step 2: Convert to fraction form
    24,592.49/36,892.35 = 7,946.99/x
  3. Step 3: Cross multiply
    24,592.49x = 36,892.35 × 7,946.99
  4. Step 4: Simplify right side
    24,592.49x = 293,182,952.06
  5. Step 5: Solve for x
    x = 293,182,952.06/24,592.49
  6. Step 6: Final answer
    x = 11,921.65

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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.