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Finding the Fourth Proportional to 15,783.87, 23,653.25 and 11,590.98

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Solution

The fourth proportional to 15,783.87, 23,653.25 and 11,590.98 is: 17,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.87 : 23,653.25 = 11,590.98 : x
  2. Step 2: Convert to fraction form
    15,783.87/23,653.25 = 11,590.98/x
  3. Step 3: Cross multiply
    15,783.87x = 23,653.25 × 11,590.98
  4. Step 4: Simplify right side
    15,783.87x = 274,164,289.73
  5. Step 5: Solve for x
    x = 274,164,289.73/15,783.87
  6. Step 6: Final answer
    x = 17,369.90

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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.