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Finding the Fourth Proportional to 13,345.53, 18,414.93 and 7,678.11

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Solution

The fourth proportional to 13,345.53, 18,414.93 and 7,678.11 is: 10,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345.53 : 18,414.93 = 7,678.11 : x
  2. Step 2: Convert to fraction form
    13,345.53/18,414.93 = 7,678.11/x
  3. Step 3: Cross multiply
    13,345.53x = 18,414.93 × 7,678.11
  4. Step 4: Simplify right side
    13,345.53x = 141,391,858.18
  5. Step 5: Solve for x
    x = 141,391,858.18/13,345.53
  6. Step 6: Final answer
    x = 10,594.70

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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.