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Finding the Fourth Proportional to 14,330.50, 21,488 and 4,969.83

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Solution

The fourth proportional to 14,330.50, 21,488 and 4,969.83 is: 7,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.50 : 21,488 = 4,969.83 : x
  2. Step 2: Convert to fraction form
    14,330.50/21,488 = 4,969.83/x
  3. Step 3: Cross multiply
    14,330.50x = 21,488 × 4,969.83
  4. Step 4: Simplify right side
    14,330.50x = 106,791,707.04
  5. Step 5: Solve for x
    x = 106,791,707.04/14,330.50
  6. Step 6: Final answer
    x = 7,452.06

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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.