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Finding the Fourth Proportional to 15,228.57, 22,842.63 and 4,135.50

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Solution

The fourth proportional to 15,228.57, 22,842.63 and 4,135.50 is: 6,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.57 : 22,842.63 = 4,135.50 : x
  2. Step 2: Convert to fraction form
    15,228.57/22,842.63 = 4,135.50/x
  3. Step 3: Cross multiply
    15,228.57x = 22,842.63 × 4,135.50
  4. Step 4: Simplify right side
    15,228.57x = 94,465,696.37
  5. Step 5: Solve for x
    x = 94,465,696.37/15,228.57
  6. Step 6: Final answer
    x = 6,203.19

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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.