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Finding the Fourth Proportional to 23,877.65, 32,950.91 and 13,267.05

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Solution

The fourth proportional to 23,877.65, 32,950.91 and 13,267.05 is: 18,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.65 : 32,950.91 = 13,267.05 : x
  2. Step 2: Convert to fraction form
    23,877.65/32,950.91 = 13,267.05/x
  3. Step 3: Cross multiply
    23,877.65x = 32,950.91 × 13,267.05
  4. Step 4: Simplify right side
    23,877.65x = 437,161,370.52
  5. Step 5: Solve for x
    x = 437,161,370.52/23,877.65
  6. Step 6: Final answer
    x = 18,308.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.