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Finding the Fourth Proportional to 14,596.66, 21,894.98 and 4,735.94

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Solution

The fourth proportional to 14,596.66, 21,894.98 and 4,735.94 is: 7,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.66 : 21,894.98 = 4,735.94 : x
  2. Step 2: Convert to fraction form
    14,596.66/21,894.98 = 4,735.94/x
  3. Step 3: Cross multiply
    14,596.66x = 21,894.98 × 4,735.94
  4. Step 4: Simplify right side
    14,596.66x = 103,693,287.17
  5. Step 5: Solve for x
    x = 103,693,287.17/14,596.66
  6. Step 6: Final answer
    x = 7,103.91

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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.