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Finding the Fourth Proportional to 17,647.98, 24,349.46 and 10,471.93

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Solution

The fourth proportional to 17,647.98, 24,349.46 and 10,471.93 is: 14,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.98 : 24,349.46 = 10,471.93 : x
  2. Step 2: Convert to fraction form
    17,647.98/24,349.46 = 10,471.93/x
  3. Step 3: Cross multiply
    17,647.98x = 24,349.46 × 10,471.93
  4. Step 4: Simplify right side
    17,647.98x = 254,985,923.29
  5. Step 5: Solve for x
    x = 254,985,923.29/17,647.98
  6. Step 6: Final answer
    x = 14,448.45

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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.