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Finding the Fourth Proportional to 14,189.32, 19,581.24 and 7,903.18

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Solution

The fourth proportional to 14,189.32, 19,581.24 and 7,903.18 is: 10,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.32 : 19,581.24 = 7,903.18 : x
  2. Step 2: Convert to fraction form
    14,189.32/19,581.24 = 7,903.18/x
  3. Step 3: Cross multiply
    14,189.32x = 19,581.24 × 7,903.18
  4. Step 4: Simplify right side
    14,189.32x = 154,754,064.34
  5. Step 5: Solve for x
    x = 154,754,064.34/14,189.32
  6. Step 6: Final answer
    x = 10,906.38

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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.