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Finding the Fourth Proportional to 28,762.16, 43,084.92 and 14,882

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Solution

The fourth proportional to 28,762.16, 43,084.92 and 14,882 is: 22,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,762.16 : 43,084.92 = 14,882 : x
  2. Step 2: Convert to fraction form
    28,762.16/43,084.92 = 14,882/x
  3. Step 3: Cross multiply
    28,762.16x = 43,084.92 × 14,882
  4. Step 4: Simplify right side
    28,762.16x = 641,189,779.44
  5. Step 5: Solve for x
    x = 641,189,779.44/28,762.16
  6. Step 6: Final answer
    x = 22,292.82

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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.