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Finding the Fourth Proportional to 14,222.98, 19,627.68 and 8,258.14

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Solution

The fourth proportional to 14,222.98, 19,627.68 and 8,258.14 is: 11,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.98 : 19,627.68 = 8,258.14 : x
  2. Step 2: Convert to fraction form
    14,222.98/19,627.68 = 8,258.14/x
  3. Step 3: Cross multiply
    14,222.98x = 19,627.68 × 8,258.14
  4. Step 4: Simplify right side
    14,222.98x = 162,088,129.32
  5. Step 5: Solve for x
    x = 162,088,129.32/14,222.98
  6. Step 6: Final answer
    x = 11,396.21

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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.