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Finding the Fourth Proportional to 19,106.96, 26,370.24 and 10,724

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Solution

The fourth proportional to 19,106.96, 26,370.24 and 10,724 is: 14,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,106.96 : 26,370.24 = 10,724 : x
  2. Step 2: Convert to fraction form
    19,106.96/26,370.24 = 10,724/x
  3. Step 3: Cross multiply
    19,106.96x = 26,370.24 × 10,724
  4. Step 4: Simplify right side
    19,106.96x = 282,794,453.76
  5. Step 5: Solve for x
    x = 282,794,453.76/19,106.96
  6. Step 6: Final answer
    x = 14,800.60

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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.