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Finding the Fourth Proportional to 14,559.42, 21,834.54 and 4,696.50

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Solution

The fourth proportional to 14,559.42, 21,834.54 and 4,696.50 is: 7,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.42 : 21,834.54 = 4,696.50 : x
  2. Step 2: Convert to fraction form
    14,559.42/21,834.54 = 4,696.50/x
  3. Step 3: Cross multiply
    14,559.42x = 21,834.54 × 4,696.50
  4. Step 4: Simplify right side
    14,559.42x = 102,545,917.11
  5. Step 5: Solve for x
    x = 102,545,917.11/14,559.42
  6. Step 6: Final answer
    x = 7,043.27

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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.