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Finding the Fourth Proportional to 14,419.01, 19,897.75 and 8,454.63

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Solution

The fourth proportional to 14,419.01, 19,897.75 and 8,454.63 is: 11,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.01 : 19,897.75 = 8,454.63 : x
  2. Step 2: Convert to fraction form
    14,419.01/19,897.75 = 8,454.63/x
  3. Step 3: Cross multiply
    14,419.01x = 19,897.75 × 8,454.63
  4. Step 4: Simplify right side
    14,419.01x = 168,228,087.34
  5. Step 5: Solve for x
    x = 168,228,087.34/14,419.01
  6. Step 6: Final answer
    x = 11,667.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.