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Finding the Fourth Proportional to 13,378.96, 18,448.36 and 9,130.48

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Solution

The fourth proportional to 13,378.96, 18,448.36 and 9,130.48 is: 12,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.96 : 18,448.36 = 9,130.48 : x
  2. Step 2: Convert to fraction form
    13,378.96/18,448.36 = 9,130.48/x
  3. Step 3: Cross multiply
    13,378.96x = 18,448.36 × 9,130.48
  4. Step 4: Simplify right side
    13,378.96x = 168,442,382.01
  5. Step 5: Solve for x
    x = 168,442,382.01/13,378.96
  6. Step 6: Final answer
    x = 12,590.10

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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.