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Finding the Fourth Proportional to 13,787.64, 19,026.96 and 7,500

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Solution

The fourth proportional to 13,787.64, 19,026.96 and 7,500 is: 10,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.64 : 19,026.96 = 7,500 : x
  2. Step 2: Convert to fraction form
    13,787.64/19,026.96 = 7,500/x
  3. Step 3: Cross multiply
    13,787.64x = 19,026.96 × 7,500
  4. Step 4: Simplify right side
    13,787.64x = 142,702,200
  5. Step 5: Solve for x
    x = 142,702,200/13,787.64
  6. Step 6: Final answer
    x = 10,350.01

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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.