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Finding the Fourth Proportional to 13,068.54, 19,585.80 and 5,665.14

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Solution

The fourth proportional to 13,068.54, 19,585.80 and 5,665.14 is: 8,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068.54 : 19,585.80 = 5,665.14 : x
  2. Step 2: Convert to fraction form
    13,068.54/19,585.80 = 5,665.14/x
  3. Step 3: Cross multiply
    13,068.54x = 19,585.80 × 5,665.14
  4. Step 4: Simplify right side
    13,068.54x = 110,956,299.01
  5. Step 5: Solve for x
    x = 110,956,299.01/13,068.54
  6. Step 6: Final answer
    x = 8,490.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.