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Finding the Fourth Proportional to 14,473.92, 19,977.14 and 8,810.50

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Solution

The fourth proportional to 14,473.92, 19,977.14 and 8,810.50 is: 12,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.92 : 19,977.14 = 8,810.50 : x
  2. Step 2: Convert to fraction form
    14,473.92/19,977.14 = 8,810.50/x
  3. Step 3: Cross multiply
    14,473.92x = 19,977.14 × 8,810.50
  4. Step 4: Simplify right side
    14,473.92x = 176,008,591.97
  5. Step 5: Solve for x
    x = 176,008,591.97/14,473.92
  6. Step 6: Final answer
    x = 12,160.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.