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Finding the Fourth Proportional to 28,094.34, 42,147.80 and 10,564.32

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Solution

The fourth proportional to 28,094.34, 42,147.80 and 10,564.32 is: 15,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,094.34 : 42,147.80 = 10,564.32 : x
  2. Step 2: Convert to fraction form
    28,094.34/42,147.80 = 10,564.32/x
  3. Step 3: Cross multiply
    28,094.34x = 42,147.80 × 10,564.32
  4. Step 4: Simplify right side
    28,094.34x = 445,262,793.67
  5. Step 5: Solve for x
    x = 445,262,793.67/28,094.34
  6. Step 6: Final answer
    x = 15,848.84

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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.