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Finding the Fourth Proportional to 15,216.63, 22,824.94 and 4,828.38

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Solution

The fourth proportional to 15,216.63, 22,824.94 and 4,828.38 is: 7,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.63 : 22,824.94 = 4,828.38 : x
  2. Step 2: Convert to fraction form
    15,216.63/22,824.94 = 4,828.38/x
  3. Step 3: Cross multiply
    15,216.63x = 22,824.94 × 4,828.38
  4. Step 4: Simplify right side
    15,216.63x = 110,207,483.80
  5. Step 5: Solve for x
    x = 110,207,483.80/15,216.63
  6. Step 6: Final answer
    x = 7,242.57

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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.