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Finding the Fourth Proportional to 13,435.30, 20,152.85 and 4,075.30

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Solution

The fourth proportional to 13,435.30, 20,152.85 and 4,075.30 is: 6,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.30 : 20,152.85 = 4,075.30 : x
  2. Step 2: Convert to fraction form
    13,435.30/20,152.85 = 4,075.30/x
  3. Step 3: Cross multiply
    13,435.30x = 20,152.85 × 4,075.30
  4. Step 4: Simplify right side
    13,435.30x = 82,128,909.61
  5. Step 5: Solve for x
    x = 82,128,909.61/13,435.30
  6. Step 6: Final answer
    x = 6,112.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.