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Finding the Fourth Proportional to 15,383.25, 23,058.36 and 7,985.88

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Solution

The fourth proportional to 15,383.25, 23,058.36 and 7,985.88 is: 11,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.25 : 23,058.36 = 7,985.88 : x
  2. Step 2: Convert to fraction form
    15,383.25/23,058.36 = 7,985.88/x
  3. Step 3: Cross multiply
    15,383.25x = 23,058.36 × 7,985.88
  4. Step 4: Simplify right side
    15,383.25x = 184,141,295.96
  5. Step 5: Solve for x
    x = 184,141,295.96/15,383.25
  6. Step 6: Final answer
    x = 11,970.25

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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.