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Finding the Fourth Proportional to 14,933.40, 22,400.10 and 10,559.40

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Solution

The fourth proportional to 14,933.40, 22,400.10 and 10,559.40 is: 15,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.40 : 22,400.10 = 10,559.40 : x
  2. Step 2: Convert to fraction form
    14,933.40/22,400.10 = 10,559.40/x
  3. Step 3: Cross multiply
    14,933.40x = 22,400.10 × 10,559.40
  4. Step 4: Simplify right side
    14,933.40x = 236,531,615.94
  5. Step 5: Solve for x
    x = 236,531,615.94/14,933.40
  6. Step 6: Final answer
    x = 15,839.10

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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.