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Finding the Fourth Proportional to 23,507.12, 35,259.38 and 7,710.14

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Solution

The fourth proportional to 23,507.12, 35,259.38 and 7,710.14 is: 11,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.12 : 35,259.38 = 7,710.14 : x
  2. Step 2: Convert to fraction form
    23,507.12/35,259.38 = 7,710.14/x
  3. Step 3: Cross multiply
    23,507.12x = 35,259.38 × 7,710.14
  4. Step 4: Simplify right side
    23,507.12x = 271,854,756.11
  5. Step 5: Solve for x
    x = 271,854,756.11/23,507.12
  6. Step 6: Final answer
    x = 11,564.78

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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.