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Finding the Fourth Proportional to 16,104.81, 22,224.86 and 9,730.51

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Solution

The fourth proportional to 16,104.81, 22,224.86 and 9,730.51 is: 13,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.81 : 22,224.86 = 9,730.51 : x
  2. Step 2: Convert to fraction form
    16,104.81/22,224.86 = 9,730.51/x
  3. Step 3: Cross multiply
    16,104.81x = 22,224.86 × 9,730.51
  4. Step 4: Simplify right side
    16,104.81x = 216,259,222.48
  5. Step 5: Solve for x
    x = 216,259,222.48/16,104.81
  6. Step 6: Final answer
    x = 13,428.24

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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.