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Finding the Fourth Proportional to 15,850, 23,778.24 and 6,616

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Solution

The fourth proportional to 15,850, 23,778.24 and 6,616 is: 9,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,850 : 23,778.24 = 6,616 : x
  2. Step 2: Convert to fraction form
    15,850/23,778.24 = 6,616/x
  3. Step 3: Cross multiply
    15,850x = 23,778.24 × 6,616
  4. Step 4: Simplify right side
    15,850x = 157,316,835.84
  5. Step 5: Solve for x
    x = 157,316,835.84/15,850
  6. Step 6: Final answer
    x = 9,925.35

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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.