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Finding the Fourth Proportional to 17,055.37, 23,538.14 and 9,502.93

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Solution

The fourth proportional to 17,055.37, 23,538.14 and 9,502.93 is: 13,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.37 : 23,538.14 = 9,502.93 : x
  2. Step 2: Convert to fraction form
    17,055.37/23,538.14 = 9,502.93/x
  3. Step 3: Cross multiply
    17,055.37x = 23,538.14 × 9,502.93
  4. Step 4: Simplify right side
    17,055.37x = 223,681,214.15
  5. Step 5: Solve for x
    x = 223,681,214.15/17,055.37
  6. Step 6: Final answer
    x = 13,115.00

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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.