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Finding the Fourth Proportional to 15,823.74, 23,753.94 and 9,254.64

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Solution

The fourth proportional to 15,823.74, 23,753.94 and 9,254.64 is: 13,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.74 : 23,753.94 = 9,254.64 : x
  2. Step 2: Convert to fraction form
    15,823.74/23,753.94 = 9,254.64/x
  3. Step 3: Cross multiply
    15,823.74x = 23,753.94 × 9,254.64
  4. Step 4: Simplify right side
    15,823.74x = 219,834,163.28
  5. Step 5: Solve for x
    x = 219,834,163.28/15,823.74
  6. Step 6: Final answer
    x = 13,892.68

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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.