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Finding the Fourth Proportional to 13,087.16, 19,635.94 and 4,767.74

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Solution

The fourth proportional to 13,087.16, 19,635.94 and 4,767.74 is: 7,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.16 : 19,635.94 = 4,767.74 : x
  2. Step 2: Convert to fraction form
    13,087.16/19,635.94 = 4,767.74/x
  3. Step 3: Cross multiply
    13,087.16x = 19,635.94 × 4,767.74
  4. Step 4: Simplify right side
    13,087.16x = 93,618,958.40
  5. Step 5: Solve for x
    x = 93,618,958.40/13,087.16
  6. Step 6: Final answer
    x = 7,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.