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Finding the Fourth Proportional to 14,656.65, 20,147.94 and 14,564.41

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Solution

The fourth proportional to 14,656.65, 20,147.94 and 14,564.41 is: 20,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.65 : 20,147.94 = 14,564.41 : x
  2. Step 2: Convert to fraction form
    14,656.65/20,147.94 = 14,564.41/x
  3. Step 3: Cross multiply
    14,656.65x = 20,147.94 × 14,564.41
  4. Step 4: Simplify right side
    14,656.65x = 293,442,808.45
  5. Step 5: Solve for x
    x = 293,442,808.45/14,656.65
  6. Step 6: Final answer
    x = 20,021.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.