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Finding the Fourth Proportional to 14,308.95, 21,468.50 and 6,410.84

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Solution

The fourth proportional to 14,308.95, 21,468.50 and 6,410.84 is: 9,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.95 : 21,468.50 = 6,410.84 : x
  2. Step 2: Convert to fraction form
    14,308.95/21,468.50 = 6,410.84/x
  3. Step 3: Cross multiply
    14,308.95x = 21,468.50 × 6,410.84
  4. Step 4: Simplify right side
    14,308.95x = 137,631,118.54
  5. Step 5: Solve for x
    x = 137,631,118.54/14,308.95
  6. Step 6: Final answer
    x = 9,618.53

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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.