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Finding the Fourth Proportional to 23,506.54, 35,235.05 and 7,707.45

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Solution

The fourth proportional to 23,506.54, 35,235.05 and 7,707.45 is: 11,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.54 : 35,235.05 = 7,707.45 : x
  2. Step 2: Convert to fraction form
    23,506.54/35,235.05 = 7,707.45/x
  3. Step 3: Cross multiply
    23,506.54x = 35,235.05 × 7,707.45
  4. Step 4: Simplify right side
    23,506.54x = 271,572,479.72
  5. Step 5: Solve for x
    x = 271,572,479.72/23,506.54
  6. Step 6: Final answer
    x = 11,553.06

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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.