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Finding the Fourth Proportional to 13,637.16, 20,439.54 and 10,507.32

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Solution

The fourth proportional to 13,637.16, 20,439.54 and 10,507.32 is: 15,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.16 : 20,439.54 = 10,507.32 : x
  2. Step 2: Convert to fraction form
    13,637.16/20,439.54 = 10,507.32/x
  3. Step 3: Cross multiply
    13,637.16x = 20,439.54 × 10,507.32
  4. Step 4: Simplify right side
    13,637.16x = 214,764,787.43
  5. Step 5: Solve for x
    x = 214,764,787.43/13,637.16
  6. Step 6: Final answer
    x = 15,748.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.