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Finding the Fourth Proportional to 14,105.52, 19,465.32 and 7,817.76

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Solution

The fourth proportional to 14,105.52, 19,465.32 and 7,817.76 is: 10,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.52 : 19,465.32 = 7,817.76 : x
  2. Step 2: Convert to fraction form
    14,105.52/19,465.32 = 7,817.76/x
  3. Step 3: Cross multiply
    14,105.52x = 19,465.32 × 7,817.76
  4. Step 4: Simplify right side
    14,105.52x = 152,175,200.08
  5. Step 5: Solve for x
    x = 152,175,200.08/14,105.52
  6. Step 6: Final answer
    x = 10,788.34

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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.