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Finding the Fourth Proportional to 13,884.69, 19,140.93 and 9,898.88

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Solution

The fourth proportional to 13,884.69, 19,140.93 and 9,898.88 is: 13,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.69 : 19,140.93 = 9,898.88 : x
  2. Step 2: Convert to fraction form
    13,884.69/19,140.93 = 9,898.88/x
  3. Step 3: Cross multiply
    13,884.69x = 19,140.93 × 9,898.88
  4. Step 4: Simplify right side
    13,884.69x = 189,473,769.16
  5. Step 5: Solve for x
    x = 189,473,769.16/13,884.69
  6. Step 6: Final answer
    x = 13,646.24

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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.