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Finding the Fourth Proportional to 42,296.16, 63,450 and 14,596.32

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Solution

The fourth proportional to 42,296.16, 63,450 and 14,596.32 is: 21,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296.16 : 63,450 = 14,596.32 : x
  2. Step 2: Convert to fraction form
    42,296.16/63,450 = 14,596.32/x
  3. Step 3: Cross multiply
    42,296.16x = 63,450 × 14,596.32
  4. Step 4: Simplify right side
    42,296.16x = 926,136,504
  5. Step 5: Solve for x
    x = 926,136,504/42,296.16
  6. Step 6: Final answer
    x = 21,896.47

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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.