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Finding the Fourth Proportional to 20,783.84, 28,681.80 and 11,352.56

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Solution

The fourth proportional to 20,783.84, 28,681.80 and 11,352.56 is: 15,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.84 : 28,681.80 = 11,352.56 : x
  2. Step 2: Convert to fraction form
    20,783.84/28,681.80 = 11,352.56/x
  3. Step 3: Cross multiply
    20,783.84x = 28,681.80 × 11,352.56
  4. Step 4: Simplify right side
    20,783.84x = 325,611,855.41
  5. Step 5: Solve for x
    x = 325,611,855.41/20,783.84
  6. Step 6: Final answer
    x = 15,666.59

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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.