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Finding the Fourth Proportional to 14,075.38, 19,424.38 and 8,486.74

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Solution

The fourth proportional to 14,075.38, 19,424.38 and 8,486.74 is: 11,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.38 : 19,424.38 = 8,486.74 : x
  2. Step 2: Convert to fraction form
    14,075.38/19,424.38 = 8,486.74/x
  3. Step 3: Cross multiply
    14,075.38x = 19,424.38 × 8,486.74
  4. Step 4: Simplify right side
    14,075.38x = 164,849,662.72
  5. Step 5: Solve for x
    x = 164,849,662.72/14,075.38
  6. Step 6: Final answer
    x = 11,711.92

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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.