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Finding the Fourth Proportional to 19,321.40, 28,986.30 and 11,005.40

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Solution

The fourth proportional to 19,321.40, 28,986.30 and 11,005.40 is: 16,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321.40 : 28,986.30 = 11,005.40 : x
  2. Step 2: Convert to fraction form
    19,321.40/28,986.30 = 11,005.40/x
  3. Step 3: Cross multiply
    19,321.40x = 28,986.30 × 11,005.40
  4. Step 4: Simplify right side
    19,321.40x = 319,005,826.02
  5. Step 5: Solve for x
    x = 319,005,826.02/19,321.40
  6. Step 6: Final answer
    x = 16,510.49

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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.