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Finding the Fourth Proportional to 16,802.01, 25,204.01 and 4,322.16

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Solution

The fourth proportional to 16,802.01, 25,204.01 and 4,322.16 is: 6,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.01 : 25,204.01 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    16,802.01/25,204.01 = 4,322.16/x
  3. Step 3: Cross multiply
    16,802.01x = 25,204.01 × 4,322.16
  4. Step 4: Simplify right side
    16,802.01x = 108,935,742.25
  5. Step 5: Solve for x
    x = 108,935,742.25/16,802.01
  6. Step 6: Final answer
    x = 6,483.49

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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.