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Finding the Fourth Proportional to 28,106.34, 38,782.06 and 16,780.42

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Solution

The fourth proportional to 28,106.34, 38,782.06 and 16,780.42 is: 23,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106.34 : 38,782.06 = 16,780.42 : x
  2. Step 2: Convert to fraction form
    28,106.34/38,782.06 = 16,780.42/x
  3. Step 3: Cross multiply
    28,106.34x = 38,782.06 × 16,780.42
  4. Step 4: Simplify right side
    28,106.34x = 650,779,255.27
  5. Step 5: Solve for x
    x = 650,779,255.27/28,106.34
  6. Step 6: Final answer
    x = 23,154.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.