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Finding the Fourth Proportional to 14,513.91, 20,035.31 and 9,804.57

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Solution

The fourth proportional to 14,513.91, 20,035.31 and 9,804.57 is: 13,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.91 : 20,035.31 = 9,804.57 : x
  2. Step 2: Convert to fraction form
    14,513.91/20,035.31 = 9,804.57/x
  3. Step 3: Cross multiply
    14,513.91x = 20,035.31 × 9,804.57
  4. Step 4: Simplify right side
    14,513.91x = 196,437,599.37
  5. Step 5: Solve for x
    x = 196,437,599.37/14,513.91
  6. Step 6: Final answer
    x = 13,534.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.