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Finding the Fourth Proportional to 14,358.21, 21,540.02 and 6,567

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Solution

The fourth proportional to 14,358.21, 21,540.02 and 6,567 is: 9,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.21 : 21,540.02 = 6,567 : x
  2. Step 2: Convert to fraction form
    14,358.21/21,540.02 = 6,567/x
  3. Step 3: Cross multiply
    14,358.21x = 21,540.02 × 6,567
  4. Step 4: Simplify right side
    14,358.21x = 141,453,278.51
  5. Step 5: Solve for x
    x = 141,453,278.51/14,358.21
  6. Step 6: Final answer
    x = 9,851.73

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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.