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Finding the Fourth Proportional to 14,706.56, 20,290.57 and 8,332.13

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Solution

The fourth proportional to 14,706.56, 20,290.57 and 8,332.13 is: 11,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.56 : 20,290.57 = 8,332.13 : x
  2. Step 2: Convert to fraction form
    14,706.56/20,290.57 = 8,332.13/x
  3. Step 3: Cross multiply
    14,706.56x = 20,290.57 × 8,332.13
  4. Step 4: Simplify right side
    14,706.56x = 169,063,696.91
  5. Step 5: Solve for x
    x = 169,063,696.91/14,706.56
  6. Step 6: Final answer
    x = 11,495.80

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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.