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Finding the Fourth Proportional to 12,977.84, 17,901.60 and 9,828.56

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Solution

The fourth proportional to 12,977.84, 17,901.60 and 9,828.56 is: 13,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.84 : 17,901.60 = 9,828.56 : x
  2. Step 2: Convert to fraction form
    12,977.84/17,901.60 = 9,828.56/x
  3. Step 3: Cross multiply
    12,977.84x = 17,901.60 × 9,828.56
  4. Step 4: Simplify right side
    12,977.84x = 175,946,949.70
  5. Step 5: Solve for x
    x = 175,946,949.70/12,977.84
  6. Step 6: Final answer
    x = 13,557.49

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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.