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Finding the Fourth Proportional to 21,019.98, 31,529.94 and 14,426.16

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Solution

The fourth proportional to 21,019.98, 31,529.94 and 14,426.16 is: 21,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.98 : 31,529.94 = 14,426.16 : x
  2. Step 2: Convert to fraction form
    21,019.98/31,529.94 = 14,426.16/x
  3. Step 3: Cross multiply
    21,019.98x = 31,529.94 × 14,426.16
  4. Step 4: Simplify right side
    21,019.98x = 454,855,959.23
  5. Step 5: Solve for x
    x = 454,855,959.23/21,019.98
  6. Step 6: Final answer
    x = 21,639.22

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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.