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Finding the Fourth Proportional to 13,706.85, 20,547.86 and 4,935.56

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Solution

The fourth proportional to 13,706.85, 20,547.86 and 4,935.56 is: 7,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.85 : 20,547.86 = 4,935.56 : x
  2. Step 2: Convert to fraction form
    13,706.85/20,547.86 = 4,935.56/x
  3. Step 3: Cross multiply
    13,706.85x = 20,547.86 × 4,935.56
  4. Step 4: Simplify right side
    13,706.85x = 101,415,222.59
  5. Step 5: Solve for x
    x = 101,415,222.59/13,706.85
  6. Step 6: Final answer
    x = 7,398.87

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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.