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Finding the Fourth Proportional to 14,605.74, 21,902.13 and 9,058.86

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Solution

The fourth proportional to 14,605.74, 21,902.13 and 9,058.86 is: 13,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.74 : 21,902.13 = 9,058.86 : x
  2. Step 2: Convert to fraction form
    14,605.74/21,902.13 = 9,058.86/x
  3. Step 3: Cross multiply
    14,605.74x = 21,902.13 × 9,058.86
  4. Step 4: Simplify right side
    14,605.74x = 198,408,329.37
  5. Step 5: Solve for x
    x = 198,408,329.37/14,605.74
  6. Step 6: Final answer
    x = 13,584.27

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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.