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Finding the Fourth Proportional to 17,429.06, 24,051.80 and 9,471.32

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Solution

The fourth proportional to 17,429.06, 24,051.80 and 9,471.32 is: 13,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.06 : 24,051.80 = 9,471.32 : x
  2. Step 2: Convert to fraction form
    17,429.06/24,051.80 = 9,471.32/x
  3. Step 3: Cross multiply
    17,429.06x = 24,051.80 × 9,471.32
  4. Step 4: Simplify right side
    17,429.06x = 227,802,294.38
  5. Step 5: Solve for x
    x = 227,802,294.38/17,429.06
  6. Step 6: Final answer
    x = 13,070.26

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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.