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Finding the Fourth Proportional to 17,406.08, 24,020.64 and 9,448.32

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Solution

The fourth proportional to 17,406.08, 24,020.64 and 9,448.32 is: 13,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.08 : 24,020.64 = 9,448.32 : x
  2. Step 2: Convert to fraction form
    17,406.08/24,020.64 = 9,448.32/x
  3. Step 3: Cross multiply
    17,406.08x = 24,020.64 × 9,448.32
  4. Step 4: Simplify right side
    17,406.08x = 226,954,693.32
  5. Step 5: Solve for x
    x = 226,954,693.32/17,406.08
  6. Step 6: Final answer
    x = 13,038.82

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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.