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Finding the Fourth Proportional to 19,533.64, 29,286.54 and 9,139.72

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Solution

The fourth proportional to 19,533.64, 29,286.54 and 9,139.72 is: 13,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.64 : 29,286.54 = 9,139.72 : x
  2. Step 2: Convert to fraction form
    19,533.64/29,286.54 = 9,139.72/x
  3. Step 3: Cross multiply
    19,533.64x = 29,286.54 × 9,139.72
  4. Step 4: Simplify right side
    19,533.64x = 267,670,775.37
  5. Step 5: Solve for x
    x = 267,670,775.37/19,533.64
  6. Step 6: Final answer
    x = 13,703.07

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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.