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Finding the Fourth Proportional to 14,463.84, 21,696 and 4,075.84

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Solution

The fourth proportional to 14,463.84, 21,696 and 4,075.84 is: 6,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.84 : 21,696 = 4,075.84 : x
  2. Step 2: Convert to fraction form
    14,463.84/21,696 = 4,075.84/x
  3. Step 3: Cross multiply
    14,463.84x = 21,696 × 4,075.84
  4. Step 4: Simplify right side
    14,463.84x = 88,429,424.64
  5. Step 5: Solve for x
    x = 88,429,424.64/14,463.84
  6. Step 6: Final answer
    x = 6,113.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.