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Finding the Fourth Proportional to 14,323.42, 21,476.49 and 6,424.50

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Solution

The fourth proportional to 14,323.42, 21,476.49 and 6,424.50 is: 9,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.42 : 21,476.49 = 6,424.50 : x
  2. Step 2: Convert to fraction form
    14,323.42/21,476.49 = 6,424.50/x
  3. Step 3: Cross multiply
    14,323.42x = 21,476.49 × 6,424.50
  4. Step 4: Simplify right side
    14,323.42x = 137,975,710.01
  5. Step 5: Solve for x
    x = 137,975,710.01/14,323.42
  6. Step 6: Final answer
    x = 9,632.87

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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.