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Finding the Fourth Proportional to 15,032.54, 20,733.75 and 9,721.77

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Solution

The fourth proportional to 15,032.54, 20,733.75 and 9,721.77 is: 13,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032.54 : 20,733.75 = 9,721.77 : x
  2. Step 2: Convert to fraction form
    15,032.54/20,733.75 = 9,721.77/x
  3. Step 3: Cross multiply
    15,032.54x = 20,733.75 × 9,721.77
  4. Step 4: Simplify right side
    15,032.54x = 201,568,748.74
  5. Step 5: Solve for x
    x = 201,568,748.74/15,032.54
  6. Step 6: Final answer
    x = 13,408.83

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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.