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Finding the Fourth Proportional to 19,894.76, 29,823.58 and 6,737.94

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Solution

The fourth proportional to 19,894.76, 29,823.58 and 6,737.94 is: 10,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.76 : 29,823.58 = 6,737.94 : x
  2. Step 2: Convert to fraction form
    19,894.76/29,823.58 = 6,737.94/x
  3. Step 3: Cross multiply
    19,894.76x = 29,823.58 × 6,737.94
  4. Step 4: Simplify right side
    19,894.76x = 200,949,492.63
  5. Step 5: Solve for x
    x = 200,949,492.63/19,894.76
  6. Step 6: Final answer
    x = 10,100.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.