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Finding the Fourth Proportional to 13,984.95, 19,297.47 and 9,457.48

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Solution

The fourth proportional to 13,984.95, 19,297.47 and 9,457.48 is: 13,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.95 : 19,297.47 = 9,457.48 : x
  2. Step 2: Convert to fraction form
    13,984.95/19,297.47 = 9,457.48/x
  3. Step 3: Cross multiply
    13,984.95x = 19,297.47 × 9,457.48
  4. Step 4: Simplify right side
    13,984.95x = 182,505,436.58
  5. Step 5: Solve for x
    x = 182,505,436.58/13,984.95
  6. Step 6: Final answer
    x = 13,050.13

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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.