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Finding the Fourth Proportional to 12,058.14, 16,644.60 and 9,816.12

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Solution

The fourth proportional to 12,058.14, 16,644.60 and 9,816.12 is: 13,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.14 : 16,644.60 = 9,816.12 : x
  2. Step 2: Convert to fraction form
    12,058.14/16,644.60 = 9,816.12/x
  3. Step 3: Cross multiply
    12,058.14x = 16,644.60 × 9,816.12
  4. Step 4: Simplify right side
    12,058.14x = 163,385,390.95
  5. Step 5: Solve for x
    x = 163,385,390.95/12,058.14
  6. Step 6: Final answer
    x = 13,549.80

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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.