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Finding the Fourth Proportional to 13,181.57, 19,767.14 and 5,685.71

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Solution

The fourth proportional to 13,181.57, 19,767.14 and 5,685.71 is: 8,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.57 : 19,767.14 = 5,685.71 : x
  2. Step 2: Convert to fraction form
    13,181.57/19,767.14 = 5,685.71/x
  3. Step 3: Cross multiply
    13,181.57x = 19,767.14 × 5,685.71
  4. Step 4: Simplify right side
    13,181.57x = 112,390,225.57
  5. Step 5: Solve for x
    x = 112,390,225.57/13,181.57
  6. Step 6: Final answer
    x = 8,526.32

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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.