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Finding the Fourth Proportional to 14,257.50, 19,683.99 and 9,298.14

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Solution

The fourth proportional to 14,257.50, 19,683.99 and 9,298.14 is: 12,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.50 : 19,683.99 = 9,298.14 : x
  2. Step 2: Convert to fraction form
    14,257.50/19,683.99 = 9,298.14/x
  3. Step 3: Cross multiply
    14,257.50x = 19,683.99 × 9,298.14
  4. Step 4: Simplify right side
    14,257.50x = 183,024,494.78
  5. Step 5: Solve for x
    x = 183,024,494.78/14,257.50
  6. Step 6: Final answer
    x = 12,837.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.