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Finding the Fourth Proportional to 23,685.46, 35,515.11 and 9,641.88

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Solution

The fourth proportional to 23,685.46, 35,515.11 and 9,641.88 is: 14,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.46 : 35,515.11 = 9,641.88 : x
  2. Step 2: Convert to fraction form
    23,685.46/35,515.11 = 9,641.88/x
  3. Step 3: Cross multiply
    23,685.46x = 35,515.11 × 9,641.88
  4. Step 4: Simplify right side
    23,685.46x = 342,432,428.81
  5. Step 5: Solve for x
    x = 342,432,428.81/23,685.46
  6. Step 6: Final answer
    x = 14,457.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.