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Finding the Fourth Proportional to 19,892, 29,831.63 and 6,562.01

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Solution

The fourth proportional to 19,892, 29,831.63 and 6,562.01 is: 9,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892 : 29,831.63 = 6,562.01 : x
  2. Step 2: Convert to fraction form
    19,892/29,831.63 = 6,562.01/x
  3. Step 3: Cross multiply
    19,892x = 29,831.63 × 6,562.01
  4. Step 4: Simplify right side
    19,892x = 195,755,454.38
  5. Step 5: Solve for x
    x = 195,755,454.38/19,892
  6. Step 6: Final answer
    x = 9,840.91

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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.