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Finding the Fourth Proportional to 14,182.86, 21,274.40 and 5,300.20

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Solution

The fourth proportional to 14,182.86, 21,274.40 and 5,300.20 is: 7,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.86 : 21,274.40 = 5,300.20 : x
  2. Step 2: Convert to fraction form
    14,182.86/21,274.40 = 5,300.20/x
  3. Step 3: Cross multiply
    14,182.86x = 21,274.40 × 5,300.20
  4. Step 4: Simplify right side
    14,182.86x = 112,758,594.85
  5. Step 5: Solve for x
    x = 112,758,594.85/14,182.86
  6. Step 6: Final answer
    x = 7,950.34

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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.