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Finding the Fourth Proportional to 23,566.64, 35,354.64 and 8,775.68

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Solution

The fourth proportional to 23,566.64, 35,354.64 and 8,775.68 is: 13,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566.64 : 35,354.64 = 8,775.68 : x
  2. Step 2: Convert to fraction form
    23,566.64/35,354.64 = 8,775.68/x
  3. Step 3: Cross multiply
    23,566.64x = 35,354.64 × 8,775.68
  4. Step 4: Simplify right side
    23,566.64x = 310,261,007.16
  5. Step 5: Solve for x
    x = 310,261,007.16/23,566.64
  6. Step 6: Final answer
    x = 13,165.26

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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.