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Finding the Fourth Proportional to 23,509.54, 35,239.55 and 7,710.47

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Solution

The fourth proportional to 23,509.54, 35,239.55 and 7,710.47 is: 11,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.54 : 35,239.55 = 7,710.47 : x
  2. Step 2: Convert to fraction form
    23,509.54/35,239.55 = 7,710.47/x
  3. Step 3: Cross multiply
    23,509.54x = 35,239.55 × 7,710.47
  4. Step 4: Simplify right side
    23,509.54x = 271,713,278.34
  5. Step 5: Solve for x
    x = 271,713,278.34/23,509.54
  6. Step 6: Final answer
    x = 11,557.58

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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.