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Finding the Fourth Proportional to 18,846.16, 28,275 and 9,618.64

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Solution

The fourth proportional to 18,846.16, 28,275 and 9,618.64 is: 14,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846.16 : 28,275 = 9,618.64 : x
  2. Step 2: Convert to fraction form
    18,846.16/28,275 = 9,618.64/x
  3. Step 3: Cross multiply
    18,846.16x = 28,275 × 9,618.64
  4. Step 4: Simplify right side
    18,846.16x = 271,967,046
  5. Step 5: Solve for x
    x = 271,967,046/18,846.16
  6. Step 6: Final answer
    x = 14,430.90

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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.