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Finding the Fourth Proportional to 13,153.06, 19,730 and 5,753.71

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Solution

The fourth proportional to 13,153.06, 19,730 and 5,753.71 is: 8,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.06 : 19,730 = 5,753.71 : x
  2. Step 2: Convert to fraction form
    13,153.06/19,730 = 5,753.71/x
  3. Step 3: Cross multiply
    13,153.06x = 19,730 × 5,753.71
  4. Step 4: Simplify right side
    13,153.06x = 113,520,698.30
  5. Step 5: Solve for x
    x = 113,520,698.30/13,153.06
  6. Step 6: Final answer
    x = 8,630.74

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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.