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Finding the Fourth Proportional to 19,495.89, 29,251.53 and 10,141.77

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Solution

The fourth proportional to 19,495.89, 29,251.53 and 10,141.77 is: 15,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495.89 : 29,251.53 = 10,141.77 : x
  2. Step 2: Convert to fraction form
    19,495.89/29,251.53 = 10,141.77/x
  3. Step 3: Cross multiply
    19,495.89x = 29,251.53 × 10,141.77
  4. Step 4: Simplify right side
    19,495.89x = 296,662,399.10
  5. Step 5: Solve for x
    x = 296,662,399.10/19,495.89
  6. Step 6: Final answer
    x = 15,216.66

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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.