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Finding the Fourth Proportional to 13,065.84, 19,585.31 and 5,165.15

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Solution

The fourth proportional to 13,065.84, 19,585.31 and 5,165.15 is: 7,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.84 : 19,585.31 = 5,165.15 : x
  2. Step 2: Convert to fraction form
    13,065.84/19,585.31 = 5,165.15/x
  3. Step 3: Cross multiply
    13,065.84x = 19,585.31 × 5,165.15
  4. Step 4: Simplify right side
    13,065.84x = 101,160,940.19
  5. Step 5: Solve for x
    x = 101,160,940.19/13,065.84
  6. Step 6: Final answer
    x = 7,742.40

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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.