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Finding the Fourth Proportional to 16,058.76, 24,092.49 and 6,695.67

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Solution

The fourth proportional to 16,058.76, 24,092.49 and 6,695.67 is: 10,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.76 : 24,092.49 = 6,695.67 : x
  2. Step 2: Convert to fraction form
    16,058.76/24,092.49 = 6,695.67/x
  3. Step 3: Cross multiply
    16,058.76x = 24,092.49 × 6,695.67
  4. Step 4: Simplify right side
    16,058.76x = 161,315,362.52
  5. Step 5: Solve for x
    x = 161,315,362.52/16,058.76
  6. Step 6: Final answer
    x = 10,045.32

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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.