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Finding the Fourth Proportional to 17,055.72, 23,538.08 and 10,341.63

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Solution

The fourth proportional to 17,055.72, 23,538.08 and 10,341.63 is: 14,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.72 : 23,538.08 = 10,341.63 : x
  2. Step 2: Convert to fraction form
    17,055.72/23,538.08 = 10,341.63/x
  3. Step 3: Cross multiply
    17,055.72x = 23,538.08 × 10,341.63
  4. Step 4: Simplify right side
    17,055.72x = 243,422,062.56
  5. Step 5: Solve for x
    x = 243,422,062.56/17,055.72
  6. Step 6: Final answer
    x = 14,272.17

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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.