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Finding the Fourth Proportional to 13,009.64, 19,509.60 and 4,123.94

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Solution

The fourth proportional to 13,009.64, 19,509.60 and 4,123.94 is: 6,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.64 : 19,509.60 = 4,123.94 : x
  2. Step 2: Convert to fraction form
    13,009.64/19,509.60 = 4,123.94/x
  3. Step 3: Cross multiply
    13,009.64x = 19,509.60 × 4,123.94
  4. Step 4: Simplify right side
    13,009.64x = 80,456,419.82
  5. Step 5: Solve for x
    x = 80,456,419.82/13,009.64
  6. Step 6: Final answer
    x = 6,184.37

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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.