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Finding the Fourth Proportional to 14,699, 22,033.92 and 8,128.28

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Solution

The fourth proportional to 14,699, 22,033.92 and 8,128.28 is: 12,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699 : 22,033.92 = 8,128.28 : x
  2. Step 2: Convert to fraction form
    14,699/22,033.92 = 8,128.28/x
  3. Step 3: Cross multiply
    14,699x = 22,033.92 × 8,128.28
  4. Step 4: Simplify right side
    14,699x = 179,097,871.26
  5. Step 5: Solve for x
    x = 179,097,871.26/14,699
  6. Step 6: Final answer
    x = 12,184.36

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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.