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Finding the Fourth Proportional to 14,732.90, 20,338.93 and 11,368.16

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Solution

The fourth proportional to 14,732.90, 20,338.93 and 11,368.16 is: 15,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.90 : 20,338.93 = 11,368.16 : x
  2. Step 2: Convert to fraction form
    14,732.90/20,338.93 = 11,368.16/x
  3. Step 3: Cross multiply
    14,732.90x = 20,338.93 × 11,368.16
  4. Step 4: Simplify right side
    14,732.90x = 231,216,210.47
  5. Step 5: Solve for x
    x = 231,216,210.47/14,732.90
  6. Step 6: Final answer
    x = 15,693.87

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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.