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Finding the Fourth Proportional to 24,604.81, 36,925.13 and 9,817.97

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Solution

The fourth proportional to 24,604.81, 36,925.13 and 9,817.97 is: 14,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.81 : 36,925.13 = 9,817.97 : x
  2. Step 2: Convert to fraction form
    24,604.81/36,925.13 = 9,817.97/x
  3. Step 3: Cross multiply
    24,604.81x = 36,925.13 × 9,817.97
  4. Step 4: Simplify right side
    24,604.81x = 362,529,658.51
  5. Step 5: Solve for x
    x = 362,529,658.51/24,604.81
  6. Step 6: Final answer
    x = 14,734.10

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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.