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Finding the Fourth Proportional to 17,858.98, 24,645.47 and 9,792.77

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Solution

The fourth proportional to 17,858.98, 24,645.47 and 9,792.77 is: 13,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.98 : 24,645.47 = 9,792.77 : x
  2. Step 2: Convert to fraction form
    17,858.98/24,645.47 = 9,792.77/x
  3. Step 3: Cross multiply
    17,858.98x = 24,645.47 × 9,792.77
  4. Step 4: Simplify right side
    17,858.98x = 241,347,419.25
  5. Step 5: Solve for x
    x = 241,347,419.25/17,858.98
  6. Step 6: Final answer
    x = 13,514.07

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