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Finding the Fourth Proportional to 24,935.45, 37,403.10 and 9,141.66

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Solution

The fourth proportional to 24,935.45, 37,403.10 and 9,141.66 is: 13,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.45 : 37,403.10 = 9,141.66 : x
  2. Step 2: Convert to fraction form
    24,935.45/37,403.10 = 9,141.66/x
  3. Step 3: Cross multiply
    24,935.45x = 37,403.10 × 9,141.66
  4. Step 4: Simplify right side
    24,935.45x = 341,926,423.15
  5. Step 5: Solve for x
    x = 341,926,423.15/24,935.45
  6. Step 6: Final answer
    x = 13,712.47

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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.