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Finding the Fourth Proportional to 17,442.96, 24,071.24 and 9,890.76

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Solution

The fourth proportional to 17,442.96, 24,071.24 and 9,890.76 is: 13,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.96 : 24,071.24 = 9,890.76 : x
  2. Step 2: Convert to fraction form
    17,442.96/24,071.24 = 9,890.76/x
  3. Step 3: Cross multiply
    17,442.96x = 24,071.24 × 9,890.76
  4. Step 4: Simplify right side
    17,442.96x = 238,082,857.74
  5. Step 5: Solve for x
    x = 238,082,857.74/17,442.96
  6. Step 6: Final answer
    x = 13,649.22

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