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Finding the Fourth Proportional to 17,428.95, 24,051.60 and 9,471.38

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Solution

The fourth proportional to 17,428.95, 24,051.60 and 9,471.38 is: 13,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.95 : 24,051.60 = 9,471.38 : x
  2. Step 2: Convert to fraction form
    17,428.95/24,051.60 = 9,471.38/x
  3. Step 3: Cross multiply
    17,428.95x = 24,051.60 × 9,471.38
  4. Step 4: Simplify right side
    17,428.95x = 227,801,722.95
  5. Step 5: Solve for x
    x = 227,801,722.95/17,428.95
  6. Step 6: Final answer
    x = 13,070.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.