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Finding the Fourth Proportional to 28,572.42, 42,858.62 and 12,994.50

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Solution

The fourth proportional to 28,572.42, 42,858.62 and 12,994.50 is: 19,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,572.42 : 42,858.62 = 12,994.50 : x
  2. Step 2: Convert to fraction form
    28,572.42/42,858.62 = 12,994.50/x
  3. Step 3: Cross multiply
    28,572.42x = 42,858.62 × 12,994.50
  4. Step 4: Simplify right side
    28,572.42x = 556,926,337.59
  5. Step 5: Solve for x
    x = 556,926,337.59/28,572.42
  6. Step 6: Final answer
    x = 19,491.75

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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.