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Finding the Fourth Proportional to 16,143.65, 22,276.95 and 8,973.00

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Solution

The fourth proportional to 16,143.65, 22,276.95 and 8,973.00 is: 12,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.65 : 22,276.95 = 8,973.00 : x
  2. Step 2: Convert to fraction form
    16,143.65/22,276.95 = 8,973.00/x
  3. Step 3: Cross multiply
    16,143.65x = 22,276.95 × 8,973.00
  4. Step 4: Simplify right side
    16,143.65x = 199,891,070.47
  5. Step 5: Solve for x
    x = 199,891,070.47/16,143.65
  6. Step 6: Final answer
    x = 12,382.03

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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.