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Finding the Fourth Proportional to 28,026, 42,046.48 and 10,497.60

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Solution

The fourth proportional to 28,026, 42,046.48 and 10,497.60 is: 15,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,026 : 42,046.48 = 10,497.60 : x
  2. Step 2: Convert to fraction form
    28,026/42,046.48 = 10,497.60/x
  3. Step 3: Cross multiply
    28,026x = 42,046.48 × 10,497.60
  4. Step 4: Simplify right side
    28,026x = 441,387,128.45
  5. Step 5: Solve for x
    x = 441,387,128.45/28,026
  6. Step 6: Final answer
    x = 15,749.20

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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.