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Finding the Fourth Proportional to 21,071.65, 29,084.67 and 13,109.12

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Solution

The fourth proportional to 21,071.65, 29,084.67 and 13,109.12 is: 18,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.65 : 29,084.67 = 13,109.12 : x
  2. Step 2: Convert to fraction form
    21,071.65/29,084.67 = 13,109.12/x
  3. Step 3: Cross multiply
    21,071.65x = 29,084.67 × 13,109.12
  4. Step 4: Simplify right side
    21,071.65x = 381,274,363.64
  5. Step 5: Solve for x
    x = 381,274,363.64/21,071.65
  6. Step 6: Final answer
    x = 18,094.19

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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.