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Finding the Fourth Proportional to 16,378.50, 22,602.33 and 8,926.98

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Solution

The fourth proportional to 16,378.50, 22,602.33 and 8,926.98 is: 12,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.50 : 22,602.33 = 8,926.98 : x
  2. Step 2: Convert to fraction form
    16,378.50/22,602.33 = 8,926.98/x
  3. Step 3: Cross multiply
    16,378.50x = 22,602.33 × 8,926.98
  4. Step 4: Simplify right side
    16,378.50x = 201,770,547.86
  5. Step 5: Solve for x
    x = 201,770,547.86/16,378.50
  6. Step 6: Final answer
    x = 12,319.23

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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.