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Finding the Fourth Proportional to 22,509.56, 33,753 and 7,511.40

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Solution

The fourth proportional to 22,509.56, 33,753 and 7,511.40 is: 11,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.56 : 33,753 = 7,511.40 : x
  2. Step 2: Convert to fraction form
    22,509.56/33,753 = 7,511.40/x
  3. Step 3: Cross multiply
    22,509.56x = 33,753 × 7,511.40
  4. Step 4: Simplify right side
    22,509.56x = 253,532,284.20
  5. Step 5: Solve for x
    x = 253,532,284.20/22,509.56
  6. Step 6: Final answer
    x = 11,263.32

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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.