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Finding the Fourth Proportional to 13,006.84, 19,503.70 and 5,984.76

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Solution

The fourth proportional to 13,006.84, 19,503.70 and 5,984.76 is: 8,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.84 : 19,503.70 = 5,984.76 : x
  2. Step 2: Convert to fraction form
    13,006.84/19,503.70 = 5,984.76/x
  3. Step 3: Cross multiply
    13,006.84x = 19,503.70 × 5,984.76
  4. Step 4: Simplify right side
    13,006.84x = 116,724,963.61
  5. Step 5: Solve for x
    x = 116,724,963.61/13,006.84
  6. Step 6: Final answer
    x = 8,974.12

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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.