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Finding the Fourth Proportional to 16,588.18, 22,902.60 and 12,804.76

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Solution

The fourth proportional to 16,588.18, 22,902.60 and 12,804.76 is: 17,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.18 : 22,902.60 = 12,804.76 : x
  2. Step 2: Convert to fraction form
    16,588.18/22,902.60 = 12,804.76/x
  3. Step 3: Cross multiply
    16,588.18x = 22,902.60 × 12,804.76
  4. Step 4: Simplify right side
    16,588.18x = 293,262,296.38
  5. Step 5: Solve for x
    x = 293,262,296.38/16,588.18
  6. Step 6: Final answer
    x = 17,678.99

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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.