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Finding the Fourth Proportional to 16,075.46, 24,113.19 and 4,388.99

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Solution

The fourth proportional to 16,075.46, 24,113.19 and 4,388.99 is: 6,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.46 : 24,113.19 = 4,388.99 : x
  2. Step 2: Convert to fraction form
    16,075.46/24,113.19 = 4,388.99/x
  3. Step 3: Cross multiply
    16,075.46x = 24,113.19 × 4,388.99
  4. Step 4: Simplify right side
    16,075.46x = 105,832,549.78
  5. Step 5: Solve for x
    x = 105,832,549.78/16,075.46
  6. Step 6: Final answer
    x = 6,583.49

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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.