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Finding the Fourth Proportional to 19,284, 28,926.06 and 5,433

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Solution

The fourth proportional to 19,284, 28,926.06 and 5,433 is: 8,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 28,926.06 = 5,433 : x
  2. Step 2: Convert to fraction form
    19,284/28,926.06 = 5,433/x
  3. Step 3: Cross multiply
    19,284x = 28,926.06 × 5,433
  4. Step 4: Simplify right side
    19,284x = 157,155,283.98
  5. Step 5: Solve for x
    x = 157,155,283.98/19,284
  6. Step 6: Final answer
    x = 8,149.52

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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.