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Finding the Fourth Proportional to 30,414.88, 45,646.89 and 12,897.01

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Solution

The fourth proportional to 30,414.88, 45,646.89 and 12,897.01 is: 19,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.88 : 45,646.89 = 12,897.01 : x
  2. Step 2: Convert to fraction form
    30,414.88/45,646.89 = 12,897.01/x
  3. Step 3: Cross multiply
    30,414.88x = 45,646.89 × 12,897.01
  4. Step 4: Simplify right side
    30,414.88x = 588,708,396.80
  5. Step 5: Solve for x
    x = 588,708,396.80/30,414.88
  6. Step 6: Final answer
    x = 19,355.93

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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.