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Finding the Fourth Proportional to 16,708.68, 25,075.16 and 13,461

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Solution

The fourth proportional to 16,708.68, 25,075.16 and 13,461 is: 20,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,708.68 : 25,075.16 = 13,461 : x
  2. Step 2: Convert to fraction form
    16,708.68/25,075.16 = 13,461/x
  3. Step 3: Cross multiply
    16,708.68x = 25,075.16 × 13,461
  4. Step 4: Simplify right side
    16,708.68x = 337,536,728.76
  5. Step 5: Solve for x
    x = 337,536,728.76/16,708.68
  6. Step 6: Final answer
    x = 20,201.28

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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.