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Finding the Fourth Proportional to 17,670.96, 26,497.80 and 9,877.68

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Solution

The fourth proportional to 17,670.96, 26,497.80 and 9,877.68 is: 14,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.96 : 26,497.80 = 9,877.68 : x
  2. Step 2: Convert to fraction form
    17,670.96/26,497.80 = 9,877.68/x
  3. Step 3: Cross multiply
    17,670.96x = 26,497.80 × 9,877.68
  4. Step 4: Simplify right side
    17,670.96x = 261,736,789.10
  5. Step 5: Solve for x
    x = 261,736,789.10/17,670.96
  6. Step 6: Final answer
    x = 14,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.