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Finding the Fourth Proportional to 13,820.74, 19,075.69 and 8,783.98

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Solution

The fourth proportional to 13,820.74, 19,075.69 and 8,783.98 is: 12,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.74 : 19,075.69 = 8,783.98 : x
  2. Step 2: Convert to fraction form
    13,820.74/19,075.69 = 8,783.98/x
  3. Step 3: Cross multiply
    13,820.74x = 19,075.69 × 8,783.98
  4. Step 4: Simplify right side
    13,820.74x = 167,560,479.45
  5. Step 5: Solve for x
    x = 167,560,479.45/13,820.74
  6. Step 6: Final answer
    x = 12,123.84

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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.