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Finding the Fourth Proportional to 14,561, 20,094.18 and 7,937

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Solution

The fourth proportional to 14,561, 20,094.18 and 7,937 is: 10,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 20,094.18 = 7,937 : x
  2. Step 2: Convert to fraction form
    14,561/20,094.18 = 7,937/x
  3. Step 3: Cross multiply
    14,561x = 20,094.18 × 7,937
  4. Step 4: Simplify right side
    14,561x = 159,487,506.66
  5. Step 5: Solve for x
    x = 159,487,506.66/14,561
  6. Step 6: Final answer
    x = 10,953.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.