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Finding the Fourth Proportional to 28,499, 42,756.78 and 11,855.96

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Solution

The fourth proportional to 28,499, 42,756.78 and 11,855.96 is: 17,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,499 : 42,756.78 = 11,855.96 : x
  2. Step 2: Convert to fraction form
    28,499/42,756.78 = 11,855.96/x
  3. Step 3: Cross multiply
    28,499x = 42,756.78 × 11,855.96
  4. Step 4: Simplify right side
    28,499x = 506,922,673.41
  5. Step 5: Solve for x
    x = 506,922,673.41/28,499
  6. Step 6: Final answer
    x = 17,787.38

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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.