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Finding the Fourth Proportional to 16,054.68, 24,077.70 and 5,665.08

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Solution

The fourth proportional to 16,054.68, 24,077.70 and 5,665.08 is: 8,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.68 : 24,077.70 = 5,665.08 : x
  2. Step 2: Convert to fraction form
    16,054.68/24,077.70 = 5,665.08/x
  3. Step 3: Cross multiply
    16,054.68x = 24,077.70 × 5,665.08
  4. Step 4: Simplify right side
    16,054.68x = 136,402,096.72
  5. Step 5: Solve for x
    x = 136,402,096.72/16,054.68
  6. Step 6: Final answer
    x = 8,496.10

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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.