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Finding the Fourth Proportional to 14,298.66, 21,431.41 and 8,460.18

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Solution

The fourth proportional to 14,298.66, 21,431.41 and 8,460.18 is: 12,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.66 : 21,431.41 = 8,460.18 : x
  2. Step 2: Convert to fraction form
    14,298.66/21,431.41 = 8,460.18/x
  3. Step 3: Cross multiply
    14,298.66x = 21,431.41 × 8,460.18
  4. Step 4: Simplify right side
    14,298.66x = 181,313,586.25
  5. Step 5: Solve for x
    x = 181,313,586.25/14,298.66
  6. Step 6: Final answer
    x = 12,680.46

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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.