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Finding the Fourth Proportional to 14,656.34, 21,985.11 and 4,268.09

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Solution

The fourth proportional to 14,656.34, 21,985.11 and 4,268.09 is: 6,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.34 : 21,985.11 = 4,268.09 : x
  2. Step 2: Convert to fraction form
    14,656.34/21,985.11 = 4,268.09/x
  3. Step 3: Cross multiply
    14,656.34x = 21,985.11 × 4,268.09
  4. Step 4: Simplify right side
    14,656.34x = 93,834,428.14
  5. Step 5: Solve for x
    x = 93,834,428.14/14,656.34
  6. Step 6: Final answer
    x = 6,402.31

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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.