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Finding the Fourth Proportional to 13,322.37, 19,964.48 and 9,784.63

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Solution

The fourth proportional to 13,322.37, 19,964.48 and 9,784.63 is: 14,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.37 : 19,964.48 = 9,784.63 : x
  2. Step 2: Convert to fraction form
    13,322.37/19,964.48 = 9,784.63/x
  3. Step 3: Cross multiply
    13,322.37x = 19,964.48 × 9,784.63
  4. Step 4: Simplify right side
    13,322.37x = 195,344,950.12
  5. Step 5: Solve for x
    x = 195,344,950.12/13,322.37
  6. Step 6: Final answer
    x = 14,662.93

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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.