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Finding the Fourth Proportional to 19,904.18, 29,861.73 and 15,758

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Solution

The fourth proportional to 19,904.18, 29,861.73 and 15,758 is: 23,641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.18 : 29,861.73 = 15,758 : x
  2. Step 2: Convert to fraction form
    19,904.18/29,861.73 = 15,758/x
  3. Step 3: Cross multiply
    19,904.18x = 29,861.73 × 15,758
  4. Step 4: Simplify right side
    19,904.18x = 470,561,141.34
  5. Step 5: Solve for x
    x = 470,561,141.34/19,904.18
  6. Step 6: Final answer
    x = 23,641.32

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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.