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Finding the Fourth Proportional to 17,537.98, 26,314.62 and 9,216.04

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Solution

The fourth proportional to 17,537.98, 26,314.62 and 9,216.04 is: 13,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.98 : 26,314.62 = 9,216.04 : x
  2. Step 2: Convert to fraction form
    17,537.98/26,314.62 = 9,216.04/x
  3. Step 3: Cross multiply
    17,537.98x = 26,314.62 × 9,216.04
  4. Step 4: Simplify right side
    17,537.98x = 242,516,590.50
  5. Step 5: Solve for x
    x = 242,516,590.50/17,537.98
  6. Step 6: Final answer
    x = 13,828.08

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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.