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Finding the Fourth Proportional to 20,802.29, 28,709.16 and 12,307.14

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Solution

The fourth proportional to 20,802.29, 28,709.16 and 12,307.14 is: 16,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.29 : 28,709.16 = 12,307.14 : x
  2. Step 2: Convert to fraction form
    20,802.29/28,709.16 = 12,307.14/x
  3. Step 3: Cross multiply
    20,802.29x = 28,709.16 × 12,307.14
  4. Step 4: Simplify right side
    20,802.29x = 353,327,618.25
  5. Step 5: Solve for x
    x = 353,327,618.25/20,802.29
  6. Step 6: Final answer
    x = 16,985.04

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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.