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Finding the Fourth Proportional to 28,208.50, 38,928 and 15,633.52

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Solution

The fourth proportional to 28,208.50, 38,928 and 15,633.52 is: 21,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,208.50 : 38,928 = 15,633.52 : x
  2. Step 2: Convert to fraction form
    28,208.50/38,928 = 15,633.52/x
  3. Step 3: Cross multiply
    28,208.50x = 38,928 × 15,633.52
  4. Step 4: Simplify right side
    28,208.50x = 608,581,666.56
  5. Step 5: Solve for x
    x = 608,581,666.56/28,208.50
  6. Step 6: Final answer
    x = 21,574.41

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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.