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Finding the Fourth Proportional to 17,783.84, 26,677.14 and 5,302.90

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Solution

The fourth proportional to 17,783.84, 26,677.14 and 5,302.90 is: 7,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.84 : 26,677.14 = 5,302.90 : x
  2. Step 2: Convert to fraction form
    17,783.84/26,677.14 = 5,302.90/x
  3. Step 3: Cross multiply
    17,783.84x = 26,677.14 × 5,302.90
  4. Step 4: Simplify right side
    17,783.84x = 141,466,205.71
  5. Step 5: Solve for x
    x = 141,466,205.71/17,783.84
  6. Step 6: Final answer
    x = 7,954.76

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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.