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Finding the Fourth Proportional to 13,153.98, 19,730.43 and 7,306.86

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Solution

The fourth proportional to 13,153.98, 19,730.43 and 7,306.86 is: 10,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.98 : 19,730.43 = 7,306.86 : x
  2. Step 2: Convert to fraction form
    13,153.98/19,730.43 = 7,306.86/x
  3. Step 3: Cross multiply
    13,153.98x = 19,730.43 × 7,306.86
  4. Step 4: Simplify right side
    13,153.98x = 144,167,489.75
  5. Step 5: Solve for x
    x = 144,167,489.75/13,153.98
  6. Step 6: Final answer
    x = 10,959.99

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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.