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Finding the Fourth Proportional to 17,406.12, 24,020.46 and 9,448.34

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Solution

The fourth proportional to 17,406.12, 24,020.46 and 9,448.34 is: 13,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.12 : 24,020.46 = 9,448.34 : x
  2. Step 2: Convert to fraction form
    17,406.12/24,020.46 = 9,448.34/x
  3. Step 3: Cross multiply
    17,406.12x = 24,020.46 × 9,448.34
  4. Step 4: Simplify right side
    17,406.12x = 226,953,473.04
  5. Step 5: Solve for x
    x = 226,953,473.04/17,406.12
  6. Step 6: Final answer
    x = 13,038.72

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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.