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Finding the Fourth Proportional to 23,509.18, 35,262.53 and 7,712.13

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Solution

The fourth proportional to 23,509.18, 35,262.53 and 7,712.13 is: 11,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.18 : 35,262.53 = 7,712.13 : x
  2. Step 2: Convert to fraction form
    23,509.18/35,262.53 = 7,712.13/x
  3. Step 3: Cross multiply
    23,509.18x = 35,262.53 × 7,712.13
  4. Step 4: Simplify right side
    23,509.18x = 271,949,359.77
  5. Step 5: Solve for x
    x = 271,949,359.77/23,509.18
  6. Step 6: Final answer
    x = 11,567.79

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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.