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Finding the Fourth Proportional to 16,071.08, 22,178.07 and 8,997.50

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Solution

The fourth proportional to 16,071.08, 22,178.07 and 8,997.50 is: 12,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.08 : 22,178.07 = 8,997.50 : x
  2. Step 2: Convert to fraction form
    16,071.08/22,178.07 = 8,997.50/x
  3. Step 3: Cross multiply
    16,071.08x = 22,178.07 × 8,997.50
  4. Step 4: Simplify right side
    16,071.08x = 199,547,240.27
  5. Step 5: Solve for x
    x = 199,547,240.27/16,071.08
  6. Step 6: Final answer
    x = 12,416.55

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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.