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Finding the Fourth Proportional to 14,806.41, 20,426.70 and 9,700.48

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Solution

The fourth proportional to 14,806.41, 20,426.70 and 9,700.48 is: 13,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.41 : 20,426.70 = 9,700.48 : x
  2. Step 2: Convert to fraction form
    14,806.41/20,426.70 = 9,700.48/x
  3. Step 3: Cross multiply
    14,806.41x = 20,426.70 × 9,700.48
  4. Step 4: Simplify right side
    14,806.41x = 198,148,794.82
  5. Step 5: Solve for x
    x = 198,148,794.82/14,806.41
  6. Step 6: Final answer
    x = 13,382.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.