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Finding the Fourth Proportional to 14,281.81, 21,421.90 and 3,892.75

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Solution

The fourth proportional to 14,281.81, 21,421.90 and 3,892.75 is: 5,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.81 : 21,421.90 = 3,892.75 : x
  2. Step 2: Convert to fraction form
    14,281.81/21,421.90 = 3,892.75/x
  3. Step 3: Cross multiply
    14,281.81x = 21,421.90 × 3,892.75
  4. Step 4: Simplify right side
    14,281.81x = 83,390,101.23
  5. Step 5: Solve for x
    x = 83,390,101.23/14,281.81
  6. Step 6: Final answer
    x = 5,838.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.