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Finding the Fourth Proportional to 13,534.94, 20,297.21 and 4,648.61

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Solution

The fourth proportional to 13,534.94, 20,297.21 and 4,648.61 is: 6,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.94 : 20,297.21 = 4,648.61 : x
  2. Step 2: Convert to fraction form
    13,534.94/20,297.21 = 4,648.61/x
  3. Step 3: Cross multiply
    13,534.94x = 20,297.21 × 4,648.61
  4. Step 4: Simplify right side
    13,534.94x = 94,353,840.88
  5. Step 5: Solve for x
    x = 94,353,840.88/13,534.94
  6. Step 6: Final answer
    x = 6,971.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.