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Finding the Fourth Proportional to 13,219.88, 19,817.18 and 4,897.67

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Solution

The fourth proportional to 13,219.88, 19,817.18 and 4,897.67 is: 7,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.88 : 19,817.18 = 4,897.67 : x
  2. Step 2: Convert to fraction form
    13,219.88/19,817.18 = 4,897.67/x
  3. Step 3: Cross multiply
    13,219.88x = 19,817.18 × 4,897.67
  4. Step 4: Simplify right side
    13,219.88x = 97,057,916.54
  5. Step 5: Solve for x
    x = 97,057,916.54/13,219.88
  6. Step 6: Final answer
    x = 7,341.81

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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.