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Finding the Fourth Proportional to 16,499, 22,768.62 and 9,047.16

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Solution

The fourth proportional to 16,499, 22,768.62 and 9,047.16 is: 12,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499 : 22,768.62 = 9,047.16 : x
  2. Step 2: Convert to fraction form
    16,499/22,768.62 = 9,047.16/x
  3. Step 3: Cross multiply
    16,499x = 22,768.62 × 9,047.16
  4. Step 4: Simplify right side
    16,499x = 205,991,348.12
  5. Step 5: Solve for x
    x = 205,991,348.12/16,499
  6. Step 6: Final answer
    x = 12,485.08

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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.