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Finding the Fourth Proportional to 17,647.68, 24,355.74 and 10,094.70

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Solution

The fourth proportional to 17,647.68, 24,355.74 and 10,094.70 is: 13,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.68 : 24,355.74 = 10,094.70 : x
  2. Step 2: Convert to fraction form
    17,647.68/24,355.74 = 10,094.70/x
  3. Step 3: Cross multiply
    17,647.68x = 24,355.74 × 10,094.70
  4. Step 4: Simplify right side
    17,647.68x = 245,863,888.58
  5. Step 5: Solve for x
    x = 245,863,888.58/17,647.68
  6. Step 6: Final answer
    x = 13,931.80

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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.