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Finding the Fourth Proportional to 13,300.14, 18,361.59 and 10,461.90

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Solution

The fourth proportional to 13,300.14, 18,361.59 and 10,461.90 is: 14,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300.14 : 18,361.59 = 10,461.90 : x
  2. Step 2: Convert to fraction form
    13,300.14/18,361.59 = 10,461.90/x
  3. Step 3: Cross multiply
    13,300.14x = 18,361.59 × 10,461.90
  4. Step 4: Simplify right side
    13,300.14x = 192,097,118.42
  5. Step 5: Solve for x
    x = 192,097,118.42/13,300.14
  6. Step 6: Final answer
    x = 14,443.24

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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.