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Finding the Fourth Proportional to 13,716, 18,908.64 and 9,746.19

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Solution

The fourth proportional to 13,716, 18,908.64 and 9,746.19 is: 13,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716 : 18,908.64 = 9,746.19 : x
  2. Step 2: Convert to fraction form
    13,716/18,908.64 = 9,746.19/x
  3. Step 3: Cross multiply
    13,716x = 18,908.64 × 9,746.19
  4. Step 4: Simplify right side
    13,716x = 184,287,198.08
  5. Step 5: Solve for x
    x = 184,287,198.08/13,716
  6. Step 6: Final answer
    x = 13,435.93

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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.