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Finding the Fourth Proportional to 17,548.14, 24,215.74 and 9,590.46

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Solution

The fourth proportional to 17,548.14, 24,215.74 and 9,590.46 is: 13,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.14 : 24,215.74 = 9,590.46 : x
  2. Step 2: Convert to fraction form
    17,548.14/24,215.74 = 9,590.46/x
  3. Step 3: Cross multiply
    17,548.14x = 24,215.74 × 9,590.46
  4. Step 4: Simplify right side
    17,548.14x = 232,240,085.84
  5. Step 5: Solve for x
    x = 232,240,085.84/17,548.14
  6. Step 6: Final answer
    x = 13,234.46

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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.