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Finding the Fourth Proportional to 12,274.24, 16,931.44 and 7,555.20

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Solution

The fourth proportional to 12,274.24, 16,931.44 and 7,555.20 is: 10,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.24 : 16,931.44 = 7,555.20 : x
  2. Step 2: Convert to fraction form
    12,274.24/16,931.44 = 7,555.20/x
  3. Step 3: Cross multiply
    12,274.24x = 16,931.44 × 7,555.20
  4. Step 4: Simplify right side
    12,274.24x = 127,920,415.49
  5. Step 5: Solve for x
    x = 127,920,415.49/12,274.24
  6. Step 6: Final answer
    x = 10,421.86

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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.