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Finding the Fourth Proportional to 14,199, 21,302.90 and 4,965.08

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Solution

The fourth proportional to 14,199, 21,302.90 and 4,965.08 is: 7,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199 : 21,302.90 = 4,965.08 : x
  2. Step 2: Convert to fraction form
    14,199/21,302.90 = 4,965.08/x
  3. Step 3: Cross multiply
    14,199x = 21,302.90 × 4,965.08
  4. Step 4: Simplify right side
    14,199x = 105,770,602.73
  5. Step 5: Solve for x
    x = 105,770,602.73/14,199
  6. Step 6: Final answer
    x = 7,449.16

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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.