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Finding the Fourth Proportional to 16,070.14, 22,176.80 and 8,996.50

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Solution

The fourth proportional to 16,070.14, 22,176.80 and 8,996.50 is: 12,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.14 : 22,176.80 = 8,996.50 : x
  2. Step 2: Convert to fraction form
    16,070.14/22,176.80 = 8,996.50/x
  3. Step 3: Cross multiply
    16,070.14x = 22,176.80 × 8,996.50
  4. Step 4: Simplify right side
    16,070.14x = 199,513,581.20
  5. Step 5: Solve for x
    x = 199,513,581.20/16,070.14
  6. Step 6: Final answer
    x = 12,415.17

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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.