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Finding the Fourth Proportional to 28,106.34, 42,164.91 and 12,523.92

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Solution

The fourth proportional to 28,106.34, 42,164.91 and 12,523.92 is: 18,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.34 : 42,164.91 = 12,523.92 : x
  2. Step 2: Convert to fraction form
    28,106.34/42,164.91 = 12,523.92/x
  3. Step 3: Cross multiply
    28,106.34x = 42,164.91 × 12,523.92
  4. Step 4: Simplify right side
    28,106.34x = 528,069,959.65
  5. Step 5: Solve for x
    x = 528,069,959.65/28,106.34
  6. Step 6: Final answer
    x = 18,788.29

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