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Finding the Fourth Proportional to 12,301.83, 16,977.21 and 9,312.39

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Solution

The fourth proportional to 12,301.83, 16,977.21 and 9,312.39 is: 12,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.83 : 16,977.21 = 9,312.39 : x
  2. Step 2: Convert to fraction form
    12,301.83/16,977.21 = 9,312.39/x
  3. Step 3: Cross multiply
    12,301.83x = 16,977.21 × 9,312.39
  4. Step 4: Simplify right side
    12,301.83x = 158,098,400.63
  5. Step 5: Solve for x
    x = 158,098,400.63/12,301.83
  6. Step 6: Final answer
    x = 12,851.62

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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.