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Finding the Fourth Proportional to 19,114.12, 28,638.86 and 9,258.12

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Solution

The fourth proportional to 19,114.12, 28,638.86 and 9,258.12 is: 13,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.12 : 28,638.86 = 9,258.12 : x
  2. Step 2: Convert to fraction form
    19,114.12/28,638.86 = 9,258.12/x
  3. Step 3: Cross multiply
    19,114.12x = 28,638.86 × 9,258.12
  4. Step 4: Simplify right side
    19,114.12x = 265,142,002.54
  5. Step 5: Solve for x
    x = 265,142,002.54/19,114.12
  6. Step 6: Final answer
    x = 13,871.53

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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.