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Finding the Fourth Proportional to 13,429.90, 18,532.86 and 7,380.16

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Solution

The fourth proportional to 13,429.90, 18,532.86 and 7,380.16 is: 10,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.90 : 18,532.86 = 7,380.16 : x
  2. Step 2: Convert to fraction form
    13,429.90/18,532.86 = 7,380.16/x
  3. Step 3: Cross multiply
    13,429.90x = 18,532.86 × 7,380.16
  4. Step 4: Simplify right side
    13,429.90x = 136,775,472.06
  5. Step 5: Solve for x
    x = 136,775,472.06/13,429.90
  6. Step 6: Final answer
    x = 10,184.40

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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.