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Finding the Fourth Proportional to 13,176.76, 19,767.82 and 5,386.20

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Solution

The fourth proportional to 13,176.76, 19,767.82 and 5,386.20 is: 8,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.76 : 19,767.82 = 5,386.20 : x
  2. Step 2: Convert to fraction form
    13,176.76/19,767.82 = 5,386.20/x
  3. Step 3: Cross multiply
    13,176.76x = 19,767.82 × 5,386.20
  4. Step 4: Simplify right side
    13,176.76x = 106,473,432.08
  5. Step 5: Solve for x
    x = 106,473,432.08/13,176.76
  6. Step 6: Final answer
    x = 8,080.40

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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.