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Finding the Fourth Proportional to 17,922.25, 24,733.33 and 9,856.51

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Solution

The fourth proportional to 17,922.25, 24,733.33 and 9,856.51 is: 13,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.25 : 24,733.33 = 9,856.51 : x
  2. Step 2: Convert to fraction form
    17,922.25/24,733.33 = 9,856.51/x
  3. Step 3: Cross multiply
    17,922.25x = 24,733.33 × 9,856.51
  4. Step 4: Simplify right side
    17,922.25x = 243,784,314.48
  5. Step 5: Solve for x
    x = 243,784,314.48/17,922.25
  6. Step 6: Final answer
    x = 13,602.33

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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.