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Finding the Fourth Proportional to 14,946, 22,420.62 and 5,086.01

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Solution

The fourth proportional to 14,946, 22,420.62 and 5,086.01 is: 7,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946 : 22,420.62 = 5,086.01 : x
  2. Step 2: Convert to fraction form
    14,946/22,420.62 = 5,086.01/x
  3. Step 3: Cross multiply
    14,946x = 22,420.62 × 5,086.01
  4. Step 4: Simplify right side
    14,946x = 114,031,385.42
  5. Step 5: Solve for x
    x = 114,031,385.42/14,946
  6. Step 6: Final answer
    x = 7,629.56

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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.