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Finding the Fourth Proportional to 17,242.61, 23,797.58 and 16,117

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Solution

The fourth proportional to 17,242.61, 23,797.58 and 16,117 is: 22,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.61 : 23,797.58 = 16,117 : x
  2. Step 2: Convert to fraction form
    17,242.61/23,797.58 = 16,117/x
  3. Step 3: Cross multiply
    17,242.61x = 23,797.58 × 16,117
  4. Step 4: Simplify right side
    17,242.61x = 383,545,516.28
  5. Step 5: Solve for x
    x = 383,545,516.28/17,242.61
  6. Step 6: Final answer
    x = 22,244.05

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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.