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Finding the Fourth Proportional to 16,420.93, 22,662.59 and 9,347.81

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Solution

The fourth proportional to 16,420.93, 22,662.59 and 9,347.81 is: 12,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.93 : 22,662.59 = 9,347.81 : x
  2. Step 2: Convert to fraction form
    16,420.93/22,662.59 = 9,347.81/x
  3. Step 3: Cross multiply
    16,420.93x = 22,662.59 × 9,347.81
  4. Step 4: Simplify right side
    16,420.93x = 211,845,425.38
  5. Step 5: Solve for x
    x = 211,845,425.38/16,420.93
  6. Step 6: Final answer
    x = 12,900.94

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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.