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Finding the Fourth Proportional to 16,111, 22,237.02 and 9,828.64

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Solution

The fourth proportional to 16,111, 22,237.02 and 9,828.64 is: 13,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111 : 22,237.02 = 9,828.64 : x
  2. Step 2: Convert to fraction form
    16,111/22,237.02 = 9,828.64/x
  3. Step 3: Cross multiply
    16,111x = 22,237.02 × 9,828.64
  4. Step 4: Simplify right side
    16,111x = 218,559,664.25
  5. Step 5: Solve for x
    x = 218,559,664.25/16,111
  6. Step 6: Final answer
    x = 13,565.87

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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.