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Finding the Fourth Proportional to 17,521.84, 24,138.66 and 12,207.16

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Solution

The fourth proportional to 17,521.84, 24,138.66 and 12,207.16 is: 16,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521.84 : 24,138.66 = 12,207.16 : x
  2. Step 2: Convert to fraction form
    17,521.84/24,138.66 = 12,207.16/x
  3. Step 3: Cross multiply
    17,521.84x = 24,138.66 × 12,207.16
  4. Step 4: Simplify right side
    17,521.84x = 294,664,484.81
  5. Step 5: Solve for x
    x = 294,664,484.81/17,521.84
  6. Step 6: Final answer
    x = 16,816.98

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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.