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Finding the Fourth Proportional to 16,176.01, 22,323.07 and 9,460.34

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Solution

The fourth proportional to 16,176.01, 22,323.07 and 9,460.34 is: 13,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.01 : 22,323.07 = 9,460.34 : x
  2. Step 2: Convert to fraction form
    16,176.01/22,323.07 = 9,460.34/x
  3. Step 3: Cross multiply
    16,176.01x = 22,323.07 × 9,460.34
  4. Step 4: Simplify right side
    16,176.01x = 211,183,832.04
  5. Step 5: Solve for x
    x = 211,183,832.04/16,176.01
  6. Step 6: Final answer
    x = 13,055.37

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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.