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Finding the Fourth Proportional to 13,153.84, 19,740.30 and 5,251.84

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Solution

The fourth proportional to 13,153.84, 19,740.30 and 5,251.84 is: 7,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.84 : 19,740.30 = 5,251.84 : x
  2. Step 2: Convert to fraction form
    13,153.84/19,740.30 = 5,251.84/x
  3. Step 3: Cross multiply
    13,153.84x = 19,740.30 × 5,251.84
  4. Step 4: Simplify right side
    13,153.84x = 103,672,897.15
  5. Step 5: Solve for x
    x = 103,672,897.15/13,153.84
  6. Step 6: Final answer
    x = 7,881.57

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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.