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Finding the Fourth Proportional to 19,875, 29,786.94 and 15,177.72

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Solution

The fourth proportional to 19,875, 29,786.94 and 15,177.72 is: 22,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 29,786.94 = 15,177.72 : x
  2. Step 2: Convert to fraction form
    19,875/29,786.94 = 15,177.72/x
  3. Step 3: Cross multiply
    19,875x = 29,786.94 × 15,177.72
  4. Step 4: Simplify right side
    19,875x = 452,097,834.98
  5. Step 5: Solve for x
    x = 452,097,834.98/19,875
  6. Step 6: Final answer
    x = 22,747.06

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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.