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Finding the Fourth Proportional to 13,929.78, 19,222.44 and 7,642.02

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Solution

The fourth proportional to 13,929.78, 19,222.44 and 7,642.02 is: 10,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.78 : 19,222.44 = 7,642.02 : x
  2. Step 2: Convert to fraction form
    13,929.78/19,222.44 = 7,642.02/x
  3. Step 3: Cross multiply
    13,929.78x = 19,222.44 × 7,642.02
  4. Step 4: Simplify right side
    13,929.78x = 146,898,270.93
  5. Step 5: Solve for x
    x = 146,898,270.93/13,929.78
  6. Step 6: Final answer
    x = 10,545.63

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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.