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Finding the Fourth Proportional to 15,931.98, 23,897.97 and 6,577.29

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Solution

The fourth proportional to 15,931.98, 23,897.97 and 6,577.29 is: 9,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.98 : 23,897.97 = 6,577.29 : x
  2. Step 2: Convert to fraction form
    15,931.98/23,897.97 = 6,577.29/x
  3. Step 3: Cross multiply
    15,931.98x = 23,897.97 × 6,577.29
  4. Step 4: Simplify right side
    15,931.98x = 157,183,879.10
  5. Step 5: Solve for x
    x = 157,183,879.10/15,931.98
  6. Step 6: Final answer
    x = 9,865.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.