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Finding the Fourth Proportional to 23,665.98, 35,509.50 and 12,569.97

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Solution

The fourth proportional to 23,665.98, 35,509.50 and 12,569.97 is: 18,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.98 : 35,509.50 = 12,569.97 : x
  2. Step 2: Convert to fraction form
    23,665.98/35,509.50 = 12,569.97/x
  3. Step 3: Cross multiply
    23,665.98x = 35,509.50 × 12,569.97
  4. Step 4: Simplify right side
    23,665.98x = 446,353,349.72
  5. Step 5: Solve for x
    x = 446,353,349.72/23,665.98
  6. Step 6: Final answer
    x = 18,860.55

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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.