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Finding the Fourth Proportional to 21,126.53, 31,707.12 and 8,646.68

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Solution

The fourth proportional to 21,126.53, 31,707.12 and 8,646.68 is: 12,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126.53 : 31,707.12 = 8,646.68 : x
  2. Step 2: Convert to fraction form
    21,126.53/31,707.12 = 8,646.68/x
  3. Step 3: Cross multiply
    21,126.53x = 31,707.12 × 8,646.68
  4. Step 4: Simplify right side
    21,126.53x = 274,161,161.83
  5. Step 5: Solve for x
    x = 274,161,161.83/21,126.53
  6. Step 6: Final answer
    x = 12,977.10

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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.