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Finding the Fourth Proportional to 13,555.64, 20,226.62 and 12,075.77

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Solution

The fourth proportional to 13,555.64, 20,226.62 and 12,075.77 is: 18,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,555.64 : 20,226.62 = 12,075.77 : x
  2. Step 2: Convert to fraction form
    13,555.64/20,226.62 = 12,075.77/x
  3. Step 3: Cross multiply
    13,555.64x = 20,226.62 × 12,075.77
  4. Step 4: Simplify right side
    13,555.64x = 244,251,849.49
  5. Step 5: Solve for x
    x = 244,251,849.49/13,555.64
  6. Step 6: Final answer
    x = 18,018.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.