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Finding the Fourth Proportional to 21,035.81, 31,544.51 and 7,878.96

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Solution

The fourth proportional to 21,035.81, 31,544.51 and 7,878.96 is: 11,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.81 : 31,544.51 = 7,878.96 : x
  2. Step 2: Convert to fraction form
    21,035.81/31,544.51 = 7,878.96/x
  3. Step 3: Cross multiply
    21,035.81x = 31,544.51 × 7,878.96
  4. Step 4: Simplify right side
    21,035.81x = 248,537,932.51
  5. Step 5: Solve for x
    x = 248,537,932.51/21,035.81
  6. Step 6: Final answer
    x = 11,814.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.