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Finding the Fourth Proportional to 22,803.69, 34,205.49 and 12,678.51

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Solution

The fourth proportional to 22,803.69, 34,205.49 and 12,678.51 is: 19,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.69 : 34,205.49 = 12,678.51 : x
  2. Step 2: Convert to fraction form
    22,803.69/34,205.49 = 12,678.51/x
  3. Step 3: Cross multiply
    22,803.69x = 34,205.49 × 12,678.51
  4. Step 4: Simplify right side
    22,803.69x = 433,674,647.02
  5. Step 5: Solve for x
    x = 433,674,647.02/22,803.69
  6. Step 6: Final answer
    x = 19,017.74

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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.