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Finding the Fourth Proportional to 18,672, 25,767.36 and 10,289.28

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Solution

The fourth proportional to 18,672, 25,767.36 and 10,289.28 is: 14,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672 : 25,767.36 = 10,289.28 : x
  2. Step 2: Convert to fraction form
    18,672/25,767.36 = 10,289.28/x
  3. Step 3: Cross multiply
    18,672x = 25,767.36 × 10,289.28
  4. Step 4: Simplify right side
    18,672x = 265,127,581.90
  5. Step 5: Solve for x
    x = 265,127,581.90/18,672
  6. Step 6: Final answer
    x = 14,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.