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Finding the Fourth Proportional to 14,214.55, 19,616.16 and 7,841.37

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Solution

The fourth proportional to 14,214.55, 19,616.16 and 7,841.37 is: 10,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.55 : 19,616.16 = 7,841.37 : x
  2. Step 2: Convert to fraction form
    14,214.55/19,616.16 = 7,841.37/x
  3. Step 3: Cross multiply
    14,214.55x = 19,616.16 × 7,841.37
  4. Step 4: Simplify right side
    14,214.55x = 153,817,431.25
  5. Step 5: Solve for x
    x = 153,817,431.25/14,214.55
  6. Step 6: Final answer
    x = 10,821.13

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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.