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Finding the Fourth Proportional to 16,164.15, 22,312.43 and 10,199.71

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Solution

The fourth proportional to 16,164.15, 22,312.43 and 10,199.71 is: 14,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.15 : 22,312.43 = 10,199.71 : x
  2. Step 2: Convert to fraction form
    16,164.15/22,312.43 = 10,199.71/x
  3. Step 3: Cross multiply
    16,164.15x = 22,312.43 × 10,199.71
  4. Step 4: Simplify right side
    16,164.15x = 227,580,315.40
  5. Step 5: Solve for x
    x = 227,580,315.40/16,164.15
  6. Step 6: Final answer
    x = 14,079.32

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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.