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Finding the Fourth Proportional to 14,077.16, 19,418.01 and 9,297.14

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Solution

The fourth proportional to 14,077.16, 19,418.01 and 9,297.14 is: 12,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.16 : 19,418.01 = 9,297.14 : x
  2. Step 2: Convert to fraction form
    14,077.16/19,418.01 = 9,297.14/x
  3. Step 3: Cross multiply
    14,077.16x = 19,418.01 × 9,297.14
  4. Step 4: Simplify right side
    14,077.16x = 180,531,957.49
  5. Step 5: Solve for x
    x = 180,531,957.49/14,077.16
  6. Step 6: Final answer
    x = 12,824.46

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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.