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Finding the Fourth Proportional to 13,787.16, 19,037.34 and 9,588.12

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Solution

The fourth proportional to 13,787.16, 19,037.34 and 9,588.12 is: 13,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.16 : 19,037.34 = 9,588.12 : x
  2. Step 2: Convert to fraction form
    13,787.16/19,037.34 = 9,588.12/x
  3. Step 3: Cross multiply
    13,787.16x = 19,037.34 × 9,588.12
  4. Step 4: Simplify right side
    13,787.16x = 182,532,300.40
  5. Step 5: Solve for x
    x = 182,532,300.40/13,787.16
  6. Step 6: Final answer
    x = 13,239.30

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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.