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Finding the Fourth Proportional to 13,022.88, 19,533.72 and 4,256.68

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Solution

The fourth proportional to 13,022.88, 19,533.72 and 4,256.68 is: 6,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.88 : 19,533.72 = 4,256.68 : x
  2. Step 2: Convert to fraction form
    13,022.88/19,533.72 = 4,256.68/x
  3. Step 3: Cross multiply
    13,022.88x = 19,533.72 × 4,256.68
  4. Step 4: Simplify right side
    13,022.88x = 83,148,795.25
  5. Step 5: Solve for x
    x = 83,148,795.25/13,022.88
  6. Step 6: Final answer
    x = 6,384.82

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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.