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Finding the Fourth Proportional to 13,784.16, 19,033.20 and 9,585.12

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Solution

The fourth proportional to 13,784.16, 19,033.20 and 9,585.12 is: 13,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.16 : 19,033.20 = 9,585.12 : x
  2. Step 2: Convert to fraction form
    13,784.16/19,033.20 = 9,585.12/x
  3. Step 3: Cross multiply
    13,784.16x = 19,033.20 × 9,585.12
  4. Step 4: Simplify right side
    13,784.16x = 182,435,505.98
  5. Step 5: Solve for x
    x = 182,435,505.98/13,784.16
  6. Step 6: Final answer
    x = 13,235.16

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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.