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Finding the Fourth Proportional to 13,533.58, 20,303.49 and 4,768.57

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Solution

The fourth proportional to 13,533.58, 20,303.49 and 4,768.57 is: 7,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.58 : 20,303.49 = 4,768.57 : x
  2. Step 2: Convert to fraction form
    13,533.58/20,303.49 = 4,768.57/x
  3. Step 3: Cross multiply
    13,533.58x = 20,303.49 × 4,768.57
  4. Step 4: Simplify right side
    13,533.58x = 96,818,613.31
  5. Step 5: Solve for x
    x = 96,818,613.31/13,533.58
  6. Step 6: Final answer
    x = 7,153.95

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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.