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Finding the Fourth Proportional to 14,296.76, 19,729.50 and 8,009

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Solution

The fourth proportional to 14,296.76, 19,729.50 and 8,009 is: 11,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.76 : 19,729.50 = 8,009 : x
  2. Step 2: Convert to fraction form
    14,296.76/19,729.50 = 8,009/x
  3. Step 3: Cross multiply
    14,296.76x = 19,729.50 × 8,009
  4. Step 4: Simplify right side
    14,296.76x = 158,013,565.50
  5. Step 5: Solve for x
    x = 158,013,565.50/14,296.76
  6. Step 6: Final answer
    x = 11,052.40

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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.