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Finding the Fourth Proportional to 16,036.68, 24,048 and 8,538.66

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Solution

The fourth proportional to 16,036.68, 24,048 and 8,538.66 is: 12,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.68 : 24,048 = 8,538.66 : x
  2. Step 2: Convert to fraction form
    16,036.68/24,048 = 8,538.66/x
  3. Step 3: Cross multiply
    16,036.68x = 24,048 × 8,538.66
  4. Step 4: Simplify right side
    16,036.68x = 205,337,695.68
  5. Step 5: Solve for x
    x = 205,337,695.68/16,036.68
  6. Step 6: Final answer
    x = 12,804.25

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Why These Related Problems?

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