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Finding the Fourth Proportional to 15,906.64, 23,868.48 and 9,345.60

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Solution

The fourth proportional to 15,906.64, 23,868.48 and 9,345.60 is: 14,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.64 : 23,868.48 = 9,345.60 : x
  2. Step 2: Convert to fraction form
    15,906.64/23,868.48 = 9,345.60/x
  3. Step 3: Cross multiply
    15,906.64x = 23,868.48 × 9,345.60
  4. Step 4: Simplify right side
    15,906.64x = 223,065,266.69
  5. Step 5: Solve for x
    x = 223,065,266.69/15,906.64
  6. Step 6: Final answer
    x = 14,023.41

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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.