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Finding the Fourth Proportional to 14,106.69, 21,114.27 and 10,407.42

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Solution

The fourth proportional to 14,106.69, 21,114.27 and 10,407.42 is: 15,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.69 : 21,114.27 = 10,407.42 : x
  2. Step 2: Convert to fraction form
    14,106.69/21,114.27 = 10,407.42/x
  3. Step 3: Cross multiply
    14,106.69x = 21,114.27 × 10,407.42
  4. Step 4: Simplify right side
    14,106.69x = 219,745,075.88
  5. Step 5: Solve for x
    x = 219,745,075.88/14,106.69
  6. Step 6: Final answer
    x = 15,577.37

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