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Finding the Fourth Proportional to 14,894.75, 22,342.10 and 3,801.43

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Solution

The fourth proportional to 14,894.75, 22,342.10 and 3,801.43 is: 5,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.75 : 22,342.10 = 3,801.43 : x
  2. Step 2: Convert to fraction form
    14,894.75/22,342.10 = 3,801.43/x
  3. Step 3: Cross multiply
    14,894.75x = 22,342.10 × 3,801.43
  4. Step 4: Simplify right side
    14,894.75x = 84,931,981.49
  5. Step 5: Solve for x
    x = 84,931,981.49/14,894.75
  6. Step 6: Final answer
    x = 5,702.14

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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.