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Finding the Fourth Proportional to 13,594.47, 18,751.73 and 9,823.17

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Solution

The fourth proportional to 13,594.47, 18,751.73 and 9,823.17 is: 13,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.47 : 18,751.73 = 9,823.17 : x
  2. Step 2: Convert to fraction form
    13,594.47/18,751.73 = 9,823.17/x
  3. Step 3: Cross multiply
    13,594.47x = 18,751.73 × 9,823.17
  4. Step 4: Simplify right side
    13,594.47x = 184,201,431.58
  5. Step 5: Solve for x
    x = 184,201,431.58/13,594.47
  6. Step 6: Final answer
    x = 13,549.73

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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.