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Finding the Fourth Proportional to 17,872.66, 26,779.83 and 9,095.50

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Solution

The fourth proportional to 17,872.66, 26,779.83 and 9,095.50 is: 13,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.66 : 26,779.83 = 9,095.50 : x
  2. Step 2: Convert to fraction form
    17,872.66/26,779.83 = 9,095.50/x
  3. Step 3: Cross multiply
    17,872.66x = 26,779.83 × 9,095.50
  4. Step 4: Simplify right side
    17,872.66x = 243,575,943.77
  5. Step 5: Solve for x
    x = 243,575,943.77/17,872.66
  6. Step 6: Final answer
    x = 13,628.41

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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.