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Finding the Fourth Proportional to 23,485.86, 35,206.74 and 7,892.58

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Solution

The fourth proportional to 23,485.86, 35,206.74 and 7,892.58 is: 11,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.86 : 35,206.74 = 7,892.58 : x
  2. Step 2: Convert to fraction form
    23,485.86/35,206.74 = 7,892.58/x
  3. Step 3: Cross multiply
    23,485.86x = 35,206.74 × 7,892.58
  4. Step 4: Simplify right side
    23,485.86x = 277,872,011.99
  5. Step 5: Solve for x
    x = 277,872,011.99/23,485.86
  6. Step 6: Final answer
    x = 11,831.46

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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.