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Finding the Fourth Proportional to 15,533.84, 23,265.71 and 7,196.34

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Solution

The fourth proportional to 15,533.84, 23,265.71 and 7,196.34 is: 10,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.84 : 23,265.71 = 7,196.34 : x
  2. Step 2: Convert to fraction form
    15,533.84/23,265.71 = 7,196.34/x
  3. Step 3: Cross multiply
    15,533.84x = 23,265.71 × 7,196.34
  4. Step 4: Simplify right side
    15,533.84x = 167,427,959.50
  5. Step 5: Solve for x
    x = 167,427,959.50/15,533.84
  6. Step 6: Final answer
    x = 10,778.27

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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.