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Finding the Fourth Proportional to 21,075.70, 29,050.68 and 14,267.57

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Solution

The fourth proportional to 21,075.70, 29,050.68 and 14,267.57 is: 19,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.70 : 29,050.68 = 14,267.57 : x
  2. Step 2: Convert to fraction form
    21,075.70/29,050.68 = 14,267.57/x
  3. Step 3: Cross multiply
    21,075.70x = 29,050.68 × 14,267.57
  4. Step 4: Simplify right side
    21,075.70x = 414,482,700.91
  5. Step 5: Solve for x
    x = 414,482,700.91/21,075.70
  6. Step 6: Final answer
    x = 19,666.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.