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Finding the Fourth Proportional to 21,771.83, 30,038.03 and 12,695.14

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Solution

The fourth proportional to 21,771.83, 30,038.03 and 12,695.14 is: 17,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.83 : 30,038.03 = 12,695.14 : x
  2. Step 2: Convert to fraction form
    21,771.83/30,038.03 = 12,695.14/x
  3. Step 3: Cross multiply
    21,771.83x = 30,038.03 × 12,695.14
  4. Step 4: Simplify right side
    21,771.83x = 381,337,122.58
  5. Step 5: Solve for x
    x = 381,337,122.58/21,771.83
  6. Step 6: Final answer
    x = 17,515.16

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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.