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Finding the Fourth Proportional to 14,597.69, 21,896.53 and 4,737.96

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Solution

The fourth proportional to 14,597.69, 21,896.53 and 4,737.96 is: 7,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.69 : 21,896.53 = 4,737.96 : x
  2. Step 2: Convert to fraction form
    14,597.69/21,896.53 = 4,737.96/x
  3. Step 3: Cross multiply
    14,597.69x = 21,896.53 × 4,737.96
  4. Step 4: Simplify right side
    14,597.69x = 103,744,871.43
  5. Step 5: Solve for x
    x = 103,744,871.43/14,597.69
  6. Step 6: Final answer
    x = 7,106.94

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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.