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Finding the Fourth Proportional to 23,487.86, 35,209.74 and 7,894.58

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Solution

The fourth proportional to 23,487.86, 35,209.74 and 7,894.58 is: 11,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.86 : 35,209.74 = 7,894.58 : x
  2. Step 2: Convert to fraction form
    23,487.86/35,209.74 = 7,894.58/x
  3. Step 3: Cross multiply
    23,487.86x = 35,209.74 × 7,894.58
  4. Step 4: Simplify right side
    23,487.86x = 277,966,109.21
  5. Step 5: Solve for x
    x = 277,966,109.21/23,487.86
  6. Step 6: Final answer
    x = 11,834.46

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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.