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Finding the Fourth Proportional to 23,485.69, 32,410.70 and 12,874.69

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Solution

The fourth proportional to 23,485.69, 32,410.70 and 12,874.69 is: 17,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.69 : 32,410.70 = 12,874.69 : x
  2. Step 2: Convert to fraction form
    23,485.69/32,410.70 = 12,874.69/x
  3. Step 3: Cross multiply
    23,485.69x = 32,410.70 × 12,874.69
  4. Step 4: Simplify right side
    23,485.69x = 417,277,715.18
  5. Step 5: Solve for x
    x = 417,277,715.18/23,485.69
  6. Step 6: Final answer
    x = 17,767.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.