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Finding the Fourth Proportional to 12,278.24, 18,417.60 and 3,044

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Solution

The fourth proportional to 12,278.24, 18,417.60 and 3,044 is: 4,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.24 : 18,417.60 = 3,044 : x
  2. Step 2: Convert to fraction form
    12,278.24/18,417.60 = 3,044/x
  3. Step 3: Cross multiply
    12,278.24x = 18,417.60 × 3,044
  4. Step 4: Simplify right side
    12,278.24x = 56,063,174.40
  5. Step 5: Solve for x
    x = 56,063,174.40/12,278.24
  6. Step 6: Final answer
    x = 4,566.06

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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.