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Finding the Fourth Proportional to 12,554.83, 17,316.06 and 9,196.42

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Solution

The fourth proportional to 12,554.83, 17,316.06 and 9,196.42 is: 12,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.83 : 17,316.06 = 9,196.42 : x
  2. Step 2: Convert to fraction form
    12,554.83/17,316.06 = 9,196.42/x
  3. Step 3: Cross multiply
    12,554.83x = 17,316.06 × 9,196.42
  4. Step 4: Simplify right side
    12,554.83x = 159,245,760.51
  5. Step 5: Solve for x
    x = 159,245,760.51/12,554.83
  6. Step 6: Final answer
    x = 12,684.02

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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.