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Finding the Fourth Proportional to 13,027.94, 19,470.38 and 9,525.32

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Solution

The fourth proportional to 13,027.94, 19,470.38 and 9,525.32 is: 14,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.94 : 19,470.38 = 9,525.32 : x
  2. Step 2: Convert to fraction form
    13,027.94/19,470.38 = 9,525.32/x
  3. Step 3: Cross multiply
    13,027.94x = 19,470.38 × 9,525.32
  4. Step 4: Simplify right side
    13,027.94x = 185,461,600.02
  5. Step 5: Solve for x
    x = 185,461,600.02/13,027.94
  6. Step 6: Final answer
    x = 14,235.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.