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Finding the Fourth Proportional to 15,773.44, 21,768 and 9,058.96

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Solution

The fourth proportional to 15,773.44, 21,768 and 9,058.96 is: 12,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.44 : 21,768 = 9,058.96 : x
  2. Step 2: Convert to fraction form
    15,773.44/21,768 = 9,058.96/x
  3. Step 3: Cross multiply
    15,773.44x = 21,768 × 9,058.96
  4. Step 4: Simplify right side
    15,773.44x = 197,195,441.28
  5. Step 5: Solve for x
    x = 197,195,441.28/15,773.44
  6. Step 6: Final answer
    x = 12,501.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.