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Finding the Fourth Proportional to 21,075.51, 29,097.87 and 13,120.95

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Solution

The fourth proportional to 21,075.51, 29,097.87 and 13,120.95 is: 18,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.51 : 29,097.87 = 13,120.95 : x
  2. Step 2: Convert to fraction form
    21,075.51/29,097.87 = 13,120.95/x
  3. Step 3: Cross multiply
    21,075.51x = 29,097.87 × 13,120.95
  4. Step 4: Simplify right side
    21,075.51x = 381,791,697.38
  5. Step 5: Solve for x
    x = 381,791,697.38/21,075.51
  6. Step 6: Final answer
    x = 18,115.42

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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.