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Finding the Fourth Proportional to 17,141.90, 23,678.41 and 13,156.16

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Solution

The fourth proportional to 17,141.90, 23,678.41 and 13,156.16 is: 18,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.90 : 23,678.41 = 13,156.16 : x
  2. Step 2: Convert to fraction form
    17,141.90/23,678.41 = 13,156.16/x
  3. Step 3: Cross multiply
    17,141.90x = 23,678.41 × 13,156.16
  4. Step 4: Simplify right side
    17,141.90x = 311,516,950.51
  5. Step 5: Solve for x
    x = 311,516,950.51/17,141.90
  6. Step 6: Final answer
    x = 18,172.84

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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.