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Finding the Fourth Proportional to 13,050.50, 19,578.63 and 4,842.50

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Solution

The fourth proportional to 13,050.50, 19,578.63 and 4,842.50 is: 7,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050.50 : 19,578.63 = 4,842.50 : x
  2. Step 2: Convert to fraction form
    13,050.50/19,578.63 = 4,842.50/x
  3. Step 3: Cross multiply
    13,050.50x = 19,578.63 × 4,842.50
  4. Step 4: Simplify right side
    13,050.50x = 94,809,515.78
  5. Step 5: Solve for x
    x = 94,809,515.78/13,050.50
  6. Step 6: Final answer
    x = 7,264.82

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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.