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Finding the Fourth Proportional to 12,897.32, 19,348.77 and 4,012.49

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Solution

The fourth proportional to 12,897.32, 19,348.77 and 4,012.49 is: 6,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.32 : 19,348.77 = 4,012.49 : x
  2. Step 2: Convert to fraction form
    12,897.32/19,348.77 = 4,012.49/x
  3. Step 3: Cross multiply
    12,897.32x = 19,348.77 × 4,012.49
  4. Step 4: Simplify right side
    12,897.32x = 77,636,649.39
  5. Step 5: Solve for x
    x = 77,636,649.39/12,897.32
  6. Step 6: Final answer
    x = 6,019.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.