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Finding the Fourth Proportional to 13,652.42, 20,478.62 and 9,258.98

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Solution

The fourth proportional to 13,652.42, 20,478.62 and 9,258.98 is: 13,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.42 : 20,478.62 = 9,258.98 : x
  2. Step 2: Convert to fraction form
    13,652.42/20,478.62 = 9,258.98/x
  3. Step 3: Cross multiply
    13,652.42x = 20,478.62 × 9,258.98
  4. Step 4: Simplify right side
    13,652.42x = 189,611,053.76
  5. Step 5: Solve for x
    x = 189,611,053.76/13,652.42
  6. Step 6: Final answer
    x = 13,888.46

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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.