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Finding the Fourth Proportional to 23,678.20, 35,492.70 and 9,632.20

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Solution

The fourth proportional to 23,678.20, 35,492.70 and 9,632.20 is: 14,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.20 : 35,492.70 = 9,632.20 : x
  2. Step 2: Convert to fraction form
    23,678.20/35,492.70 = 9,632.20/x
  3. Step 3: Cross multiply
    23,678.20x = 35,492.70 × 9,632.20
  4. Step 4: Simplify right side
    23,678.20x = 341,872,784.94
  5. Step 5: Solve for x
    x = 341,872,784.94/23,678.20
  6. Step 6: Final answer
    x = 14,438.29

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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.