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Finding the Fourth Proportional to 13,842.66, 19,094.62 and 8,533.52

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Solution

The fourth proportional to 13,842.66, 19,094.62 and 8,533.52 is: 11,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.66 : 19,094.62 = 8,533.52 : x
  2. Step 2: Convert to fraction form
    13,842.66/19,094.62 = 8,533.52/x
  3. Step 3: Cross multiply
    13,842.66x = 19,094.62 × 8,533.52
  4. Step 4: Simplify right side
    13,842.66x = 162,944,321.66
  5. Step 5: Solve for x
    x = 162,944,321.66/13,842.66
  6. Step 6: Final answer
    x = 11,771.17

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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.