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Finding the Fourth Proportional to 17,670.88, 26,510.21 and 9,784.87

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Solution

The fourth proportional to 17,670.88, 26,510.21 and 9,784.87 is: 14,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.88 : 26,510.21 = 9,784.87 : x
  2. Step 2: Convert to fraction form
    17,670.88/26,510.21 = 9,784.87/x
  3. Step 3: Cross multiply
    17,670.88x = 26,510.21 × 9,784.87
  4. Step 4: Simplify right side
    17,670.88x = 259,398,958.52
  5. Step 5: Solve for x
    x = 259,398,958.52/17,670.88
  6. Step 6: Final answer
    x = 14,679.46

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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.