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Finding the Fourth Proportional to 14,075.37, 19,415.63 and 8,769.16

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Solution

The fourth proportional to 14,075.37, 19,415.63 and 8,769.16 is: 12,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.37 : 19,415.63 = 8,769.16 : x
  2. Step 2: Convert to fraction form
    14,075.37/19,415.63 = 8,769.16/x
  3. Step 3: Cross multiply
    14,075.37x = 19,415.63 × 8,769.16
  4. Step 4: Simplify right side
    14,075.37x = 170,258,812.16
  5. Step 5: Solve for x
    x = 170,258,812.16/14,075.37
  6. Step 6: Final answer
    x = 12,096.22

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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.