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Finding the Fourth Proportional to 14,177.16, 19,564.91 and 7,803.97

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Solution

The fourth proportional to 14,177.16, 19,564.91 and 7,803.97 is: 10,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.16 : 19,564.91 = 7,803.97 : x
  2. Step 2: Convert to fraction form
    14,177.16/19,564.91 = 7,803.97/x
  3. Step 3: Cross multiply
    14,177.16x = 19,564.91 × 7,803.97
  4. Step 4: Simplify right side
    14,177.16x = 152,683,970.69
  5. Step 5: Solve for x
    x = 152,683,970.69/14,177.16
  6. Step 6: Final answer
    x = 10,769.71

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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.