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Finding the Fourth Proportional to 19,091.40, 28,647.54 and 7,405.08

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Solution

The fourth proportional to 19,091.40, 28,647.54 and 7,405.08 is: 11,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,091.40 : 28,647.54 = 7,405.08 : x
  2. Step 2: Convert to fraction form
    19,091.40/28,647.54 = 7,405.08/x
  3. Step 3: Cross multiply
    19,091.40x = 28,647.54 × 7,405.08
  4. Step 4: Simplify right side
    19,091.40x = 212,137,325.50
  5. Step 5: Solve for x
    x = 212,137,325.50/19,091.40
  6. Step 6: Final answer
    x = 11,111.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.