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Finding the Fourth Proportional to 13,706.91, 20,570.09 and 4,941.90

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Solution

The fourth proportional to 13,706.91, 20,570.09 and 4,941.90 is: 7,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.91 : 20,570.09 = 4,941.90 : x
  2. Step 2: Convert to fraction form
    13,706.91/20,570.09 = 4,941.90/x
  3. Step 3: Cross multiply
    13,706.91x = 20,570.09 × 4,941.90
  4. Step 4: Simplify right side
    13,706.91x = 101,655,303.06
  5. Step 5: Solve for x
    x = 101,655,303.06/13,706.91
  6. Step 6: Final answer
    x = 7,416.35

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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.