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Finding the Fourth Proportional to 13,145.84, 19,711.32 and 5,345.48

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Solution

The fourth proportional to 13,145.84, 19,711.32 and 5,345.48 is: 8,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.84 : 19,711.32 = 5,345.48 : x
  2. Step 2: Convert to fraction form
    13,145.84/19,711.32 = 5,345.48/x
  3. Step 3: Cross multiply
    13,145.84x = 19,711.32 × 5,345.48
  4. Step 4: Simplify right side
    13,145.84x = 105,366,466.83
  5. Step 5: Solve for x
    x = 105,366,466.83/13,145.84
  6. Step 6: Final answer
    x = 8,015.19

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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.