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Finding the Fourth Proportional to 14,024.52, 19,352.97 and 8,052

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Solution

The fourth proportional to 14,024.52, 19,352.97 and 8,052 is: 11,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.52 : 19,352.97 = 8,052 : x
  2. Step 2: Convert to fraction form
    14,024.52/19,352.97 = 8,052/x
  3. Step 3: Cross multiply
    14,024.52x = 19,352.97 × 8,052
  4. Step 4: Simplify right side
    14,024.52x = 155,830,114.44
  5. Step 5: Solve for x
    x = 155,830,114.44/14,024.52
  6. Step 6: Final answer
    x = 11,111.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.