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Finding the Fourth Proportional to 13,077.16, 18,046.83 and 7,109.23

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Solution

The fourth proportional to 13,077.16, 18,046.83 and 7,109.23 is: 9,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.16 : 18,046.83 = 7,109.23 : x
  2. Step 2: Convert to fraction form
    13,077.16/18,046.83 = 7,109.23/x
  3. Step 3: Cross multiply
    13,077.16x = 18,046.83 × 7,109.23
  4. Step 4: Simplify right side
    13,077.16x = 128,298,975.01
  5. Step 5: Solve for x
    x = 128,298,975.01/13,077.16
  6. Step 6: Final answer
    x = 9,810.92

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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.