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Finding the Fourth Proportional to 12,482.68, 18,713.07 and 4,696.96

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Solution

The fourth proportional to 12,482.68, 18,713.07 and 4,696.96 is: 7,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.68 : 18,713.07 = 4,696.96 : x
  2. Step 2: Convert to fraction form
    12,482.68/18,713.07 = 4,696.96/x
  3. Step 3: Cross multiply
    12,482.68x = 18,713.07 × 4,696.96
  4. Step 4: Simplify right side
    12,482.68x = 87,894,541.27
  5. Step 5: Solve for x
    x = 87,894,541.27/12,482.68
  6. Step 6: Final answer
    x = 7,041.32

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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.