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Finding the Fourth Proportional to 15,578.67, 23,368.14 and 5,190.42

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Solution

The fourth proportional to 15,578.67, 23,368.14 and 5,190.42 is: 7,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.67 : 23,368.14 = 5,190.42 : x
  2. Step 2: Convert to fraction form
    15,578.67/23,368.14 = 5,190.42/x
  3. Step 3: Cross multiply
    15,578.67x = 23,368.14 × 5,190.42
  4. Step 4: Simplify right side
    15,578.67x = 121,290,461.22
  5. Step 5: Solve for x
    x = 121,290,461.22/15,578.67
  6. Step 6: Final answer
    x = 7,785.67

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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.