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Finding the Fourth Proportional to 14,009.52, 19,333.12 and 7,722

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Solution

The fourth proportional to 14,009.52, 19,333.12 and 7,722 is: 10,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.52 : 19,333.12 = 7,722 : x
  2. Step 2: Convert to fraction form
    14,009.52/19,333.12 = 7,722/x
  3. Step 3: Cross multiply
    14,009.52x = 19,333.12 × 7,722
  4. Step 4: Simplify right side
    14,009.52x = 149,290,352.64
  5. Step 5: Solve for x
    x = 149,290,352.64/14,009.52
  6. Step 6: Final answer
    x = 10,656.35

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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.