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Finding the Fourth Proportional to 13,077.68, 18,046.80 and 7,109.19

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Solution

The fourth proportional to 13,077.68, 18,046.80 and 7,109.19 is: 9,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.68 : 18,046.80 = 7,109.19 : x
  2. Step 2: Convert to fraction form
    13,077.68/18,046.80 = 7,109.19/x
  3. Step 3: Cross multiply
    13,077.68x = 18,046.80 × 7,109.19
  4. Step 4: Simplify right side
    13,077.68x = 128,298,130.09
  5. Step 5: Solve for x
    x = 128,298,130.09/13,077.68
  6. Step 6: Final answer
    x = 9,810.47

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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.