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Finding the Fourth Proportional to 15,224.40, 22,784.72 and 12,762

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Solution

The fourth proportional to 15,224.40, 22,784.72 and 12,762 is: 19,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.40 : 22,784.72 = 12,762 : x
  2. Step 2: Convert to fraction form
    15,224.40/22,784.72 = 12,762/x
  3. Step 3: Cross multiply
    15,224.40x = 22,784.72 × 12,762
  4. Step 4: Simplify right side
    15,224.40x = 290,778,596.64
  5. Step 5: Solve for x
    x = 290,778,596.64/15,224.40
  6. Step 6: Final answer
    x = 19,099.51

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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.