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Finding the Fourth Proportional to 15,783.78, 23,675.70 and 10,838.40

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Solution

The fourth proportional to 15,783.78, 23,675.70 and 10,838.40 is: 16,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.78 : 23,675.70 = 10,838.40 : x
  2. Step 2: Convert to fraction form
    15,783.78/23,675.70 = 10,838.40/x
  3. Step 3: Cross multiply
    15,783.78x = 23,675.70 × 10,838.40
  4. Step 4: Simplify right side
    15,783.78x = 256,606,706.88
  5. Step 5: Solve for x
    x = 256,606,706.88/15,783.78
  6. Step 6: Final answer
    x = 16,257.62

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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.