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Finding the Fourth Proportional to 14,303.27, 19,738.72 and 8,253.42

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Solution

The fourth proportional to 14,303.27, 19,738.72 and 8,253.42 is: 11,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.27 : 19,738.72 = 8,253.42 : x
  2. Step 2: Convert to fraction form
    14,303.27/19,738.72 = 8,253.42/x
  3. Step 3: Cross multiply
    14,303.27x = 19,738.72 × 8,253.42
  4. Step 4: Simplify right side
    14,303.27x = 162,911,946.42
  5. Step 5: Solve for x
    x = 162,911,946.42/14,303.27
  6. Step 6: Final answer
    x = 11,389.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.