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Finding the Fourth Proportional to 13,533.95, 20,295.71 and 4,647.62

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Solution

The fourth proportional to 13,533.95, 20,295.71 and 4,647.62 is: 6,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.95 : 20,295.71 = 4,647.62 : x
  2. Step 2: Convert to fraction form
    13,533.95/20,295.71 = 4,647.62/x
  3. Step 3: Cross multiply
    13,533.95x = 20,295.71 × 4,647.62
  4. Step 4: Simplify right side
    13,533.95x = 94,326,747.71
  5. Step 5: Solve for x
    x = 94,326,747.71/13,533.95
  6. Step 6: Final answer
    x = 6,969.64

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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.