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Finding the Fourth Proportional to 10,368.34, 14,368.82 and 10,171.42

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Solution

The fourth proportional to 10,368.34, 14,368.82 and 10,171.42 is: 14,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.34 : 14,368.82 = 10,171.42 : x
  2. Step 2: Convert to fraction form
    10,368.34/14,368.82 = 10,171.42/x
  3. Step 3: Cross multiply
    10,368.34x = 14,368.82 × 10,171.42
  4. Step 4: Simplify right side
    10,368.34x = 146,151,252.27
  5. Step 5: Solve for x
    x = 146,151,252.27/10,368.34
  6. Step 6: Final answer
    x = 14,095.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.