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Finding the Fourth Proportional to 14,041.63, 19,378.47 and 8,075.17

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Solution

The fourth proportional to 14,041.63, 19,378.47 and 8,075.17 is: 11,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.63 : 19,378.47 = 8,075.17 : x
  2. Step 2: Convert to fraction form
    14,041.63/19,378.47 = 8,075.17/x
  3. Step 3: Cross multiply
    14,041.63x = 19,378.47 × 8,075.17
  4. Step 4: Simplify right side
    14,041.63x = 156,484,439.59
  5. Step 5: Solve for x
    x = 156,484,439.59/14,041.63
  6. Step 6: Final answer
    x = 11,144.32

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