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Finding the Fourth Proportional to 12,897.96, 19,348.02 and 4,131.06

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Solution

The fourth proportional to 12,897.96, 19,348.02 and 4,131.06 is: 6,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.96 : 19,348.02 = 4,131.06 : x
  2. Step 2: Convert to fraction form
    12,897.96/19,348.02 = 4,131.06/x
  3. Step 3: Cross multiply
    12,897.96x = 19,348.02 × 4,131.06
  4. Step 4: Simplify right side
    12,897.96x = 79,927,831.50
  5. Step 5: Solve for x
    x = 79,927,831.50/12,897.96
  6. Step 6: Final answer
    x = 6,196.94

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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.