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Finding the Fourth Proportional to 19,166.50, 28,749.75 and 5,315.50

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Solution

The fourth proportional to 19,166.50, 28,749.75 and 5,315.50 is: 7,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,166.50 : 28,749.75 = 5,315.50 : x
  2. Step 2: Convert to fraction form
    19,166.50/28,749.75 = 5,315.50/x
  3. Step 3: Cross multiply
    19,166.50x = 28,749.75 × 5,315.50
  4. Step 4: Simplify right side
    19,166.50x = 152,819,296.13
  5. Step 5: Solve for x
    x = 152,819,296.13/19,166.50
  6. Step 6: Final answer
    x = 7,973.25

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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.