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Finding the Fourth Proportional to 28,102.68, 38,777.76 and 16,164.36

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Solution

The fourth proportional to 28,102.68, 38,777.76 and 16,164.36 is: 22,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.68 : 38,777.76 = 16,164.36 : x
  2. Step 2: Convert to fraction form
    28,102.68/38,777.76 = 16,164.36/x
  3. Step 3: Cross multiply
    28,102.68x = 38,777.76 × 16,164.36
  4. Step 4: Simplify right side
    28,102.68x = 626,817,672.63
  5. Step 5: Solve for x
    x = 626,817,672.63/28,102.68
  6. Step 6: Final answer
    x = 22,304.55

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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.