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Finding the Fourth Proportional to 14,587, 21,766.67 and 13,016.20

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Solution

The fourth proportional to 14,587, 21,766.67 and 13,016.20 is: 19,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587 : 21,766.67 = 13,016.20 : x
  2. Step 2: Convert to fraction form
    14,587/21,766.67 = 13,016.20/x
  3. Step 3: Cross multiply
    14,587x = 21,766.67 × 13,016.20
  4. Step 4: Simplify right side
    14,587x = 283,319,330.05
  5. Step 5: Solve for x
    x = 283,319,330.05/14,587
  6. Step 6: Final answer
    x = 19,422.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.