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Finding the Fourth Proportional to 23,342.64, 35,009.64 and 7,756.08

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Solution

The fourth proportional to 23,342.64, 35,009.64 and 7,756.08 is: 11,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.64 : 35,009.64 = 7,756.08 : x
  2. Step 2: Convert to fraction form
    23,342.64/35,009.64 = 7,756.08/x
  3. Step 3: Cross multiply
    23,342.64x = 35,009.64 × 7,756.08
  4. Step 4: Simplify right side
    23,342.64x = 271,537,568.61
  5. Step 5: Solve for x
    x = 271,537,568.61/23,342.64
  6. Step 6: Final answer
    x = 11,632.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.