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Finding the Fourth Proportional to 13,214.16, 19,808.53 and 4,891.92

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Solution

The fourth proportional to 13,214.16, 19,808.53 and 4,891.92 is: 7,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.16 : 19,808.53 = 4,891.92 : x
  2. Step 2: Convert to fraction form
    13,214.16/19,808.53 = 4,891.92/x
  3. Step 3: Cross multiply
    13,214.16x = 19,808.53 × 4,891.92
  4. Step 4: Simplify right side
    13,214.16x = 96,901,744.08
  5. Step 5: Solve for x
    x = 96,901,744.08/13,214.16
  6. Step 6: Final answer
    x = 7,333.17

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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.