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Finding the Fourth Proportional to 14,573.84, 21,855.40 and 5,211.32

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Solution

The fourth proportional to 14,573.84, 21,855.40 and 5,211.32 is: 7,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.84 : 21,855.40 = 5,211.32 : x
  2. Step 2: Convert to fraction form
    14,573.84/21,855.40 = 5,211.32/x
  3. Step 3: Cross multiply
    14,573.84x = 21,855.40 × 5,211.32
  4. Step 4: Simplify right side
    14,573.84x = 113,895,513.07
  5. Step 5: Solve for x
    x = 113,895,513.07/14,573.84
  6. Step 6: Final answer
    x = 7,815.07

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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.