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Finding the Fourth Proportional to 17,857.52, 26,802.88 and 9,099

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Solution

The fourth proportional to 17,857.52, 26,802.88 and 9,099 is: 13,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.52 : 26,802.88 = 9,099 : x
  2. Step 2: Convert to fraction form
    17,857.52/26,802.88 = 9,099/x
  3. Step 3: Cross multiply
    17,857.52x = 26,802.88 × 9,099
  4. Step 4: Simplify right side
    17,857.52x = 243,879,405.12
  5. Step 5: Solve for x
    x = 243,879,405.12/17,857.52
  6. Step 6: Final answer
    x = 13,656.96

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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.