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Finding the Fourth Proportional to 15,927.18, 23,897.24 and 7,166.22

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Solution

The fourth proportional to 15,927.18, 23,897.24 and 7,166.22 is: 10,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.18 : 23,897.24 = 7,166.22 : x
  2. Step 2: Convert to fraction form
    15,927.18/23,897.24 = 7,166.22/x
  3. Step 3: Cross multiply
    15,927.18x = 23,897.24 × 7,166.22
  4. Step 4: Simplify right side
    15,927.18x = 171,252,879.23
  5. Step 5: Solve for x
    x = 171,252,879.23/15,927.18
  6. Step 6: Final answer
    x = 10,752.24

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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.