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Finding the Fourth Proportional to 15,503.20, 23,240.40 and 10,823.20

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Solution

The fourth proportional to 15,503.20, 23,240.40 and 10,823.20 is: 16,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.20 : 23,240.40 = 10,823.20 : x
  2. Step 2: Convert to fraction form
    15,503.20/23,240.40 = 10,823.20/x
  3. Step 3: Cross multiply
    15,503.20x = 23,240.40 × 10,823.20
  4. Step 4: Simplify right side
    15,503.20x = 251,535,497.28
  5. Step 5: Solve for x
    x = 251,535,497.28/15,503.20
  6. Step 6: Final answer
    x = 16,224.75

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1.5x scale

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.