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Finding the Fourth Proportional to 15,582.56, 23,373.84 and 7,268.39

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Solution

The fourth proportional to 15,582.56, 23,373.84 and 7,268.39 is: 10,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.56 : 23,373.84 = 7,268.39 : x
  2. Step 2: Convert to fraction form
    15,582.56/23,373.84 = 7,268.39/x
  3. Step 3: Cross multiply
    15,582.56x = 23,373.84 × 7,268.39
  4. Step 4: Simplify right side
    15,582.56x = 169,890,068.05
  5. Step 5: Solve for x
    x = 169,890,068.05/15,582.56
  6. Step 6: Final answer
    x = 10,902.58

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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.