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Finding the Fourth Proportional to 16,530.25, 22,812.29 and 9,078.25

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Solution

The fourth proportional to 16,530.25, 22,812.29 and 9,078.25 is: 12,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.25 : 22,812.29 = 9,078.25 : x
  2. Step 2: Convert to fraction form
    16,530.25/22,812.29 = 9,078.25/x
  3. Step 3: Cross multiply
    16,530.25x = 22,812.29 × 9,078.25
  4. Step 4: Simplify right side
    16,530.25x = 207,095,671.69
  5. Step 5: Solve for x
    x = 207,095,671.69/16,530.25
  6. Step 6: Final answer
    x = 12,528.28

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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.