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Finding the Fourth Proportional to 13,784.58, 19,022.85 and 7,497.09

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Solution

The fourth proportional to 13,784.58, 19,022.85 and 7,497.09 is: 10,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.58 : 19,022.85 = 7,497.09 : x
  2. Step 2: Convert to fraction form
    13,784.58/19,022.85 = 7,497.09/x
  3. Step 3: Cross multiply
    13,784.58x = 19,022.85 × 7,497.09
  4. Step 4: Simplify right side
    13,784.58x = 142,616,018.51
  5. Step 5: Solve for x
    x = 142,616,018.51/13,784.58
  6. Step 6: Final answer
    x = 10,346.05

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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.