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Finding the Fourth Proportional to 17,783.84, 26,677.13 and 5,302.91

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Solution

The fourth proportional to 17,783.84, 26,677.13 and 5,302.91 is: 7,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.84 : 26,677.13 = 5,302.91 : x
  2. Step 2: Convert to fraction form
    17,783.84/26,677.13 = 5,302.91/x
  3. Step 3: Cross multiply
    17,783.84x = 26,677.13 × 5,302.91
  4. Step 4: Simplify right side
    17,783.84x = 141,466,419.45
  5. Step 5: Solve for x
    x = 141,466,419.45/17,783.84
  6. Step 6: Final answer
    x = 7,954.77

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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.