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Finding the Fourth Proportional to 16,164.32, 24,246.50 and 5,071.87

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Solution

The fourth proportional to 16,164.32, 24,246.50 and 5,071.87 is: 7,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.32 : 24,246.50 = 5,071.87 : x
  2. Step 2: Convert to fraction form
    16,164.32/24,246.50 = 5,071.87/x
  3. Step 3: Cross multiply
    16,164.32x = 24,246.50 × 5,071.87
  4. Step 4: Simplify right side
    16,164.32x = 122,975,009.98
  5. Step 5: Solve for x
    x = 122,975,009.98/16,164.32
  6. Step 6: Final answer
    x = 7,607.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.