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Finding the Fourth Proportional to 17,616, 26,423.98 and 4,468.34

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Solution

The fourth proportional to 17,616, 26,423.98 and 4,468.34 is: 6,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616 : 26,423.98 = 4,468.34 : x
  2. Step 2: Convert to fraction form
    17,616/26,423.98 = 4,468.34/x
  3. Step 3: Cross multiply
    17,616x = 26,423.98 × 4,468.34
  4. Step 4: Simplify right side
    17,616x = 118,071,326.79
  5. Step 5: Solve for x
    x = 118,071,326.79/17,616
  6. Step 6: Final answer
    x = 6,702.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.