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Finding the Fourth Proportional to 15,102.60, 20,840.70 and 8,387.84

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Solution

The fourth proportional to 15,102.60, 20,840.70 and 8,387.84 is: 11,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.60 : 20,840.70 = 8,387.84 : x
  2. Step 2: Convert to fraction form
    15,102.60/20,840.70 = 8,387.84/x
  3. Step 3: Cross multiply
    15,102.60x = 20,840.70 × 8,387.84
  4. Step 4: Simplify right side
    15,102.60x = 174,808,352.88
  5. Step 5: Solve for x
    x = 174,808,352.88/15,102.60
  6. Step 6: Final answer
    x = 11,574.72

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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.