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Finding the Fourth Proportional to 19,526.25, 29,289.74 and 7,047.21

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Solution

The fourth proportional to 19,526.25, 29,289.74 and 7,047.21 is: 10,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526.25 : 29,289.74 = 7,047.21 : x
  2. Step 2: Convert to fraction form
    19,526.25/29,289.74 = 7,047.21/x
  3. Step 3: Cross multiply
    19,526.25x = 29,289.74 × 7,047.21
  4. Step 4: Simplify right side
    19,526.25x = 206,410,913.39
  5. Step 5: Solve for x
    x = 206,410,913.39/19,526.25
  6. Step 6: Final answer
    x = 10,570.94

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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.