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Finding the Fourth Proportional to 21,823.67, 30,128.12 and 14,691.12

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Solution

The fourth proportional to 21,823.67, 30,128.12 and 14,691.12 is: 20,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.67 : 30,128.12 = 14,691.12 : x
  2. Step 2: Convert to fraction form
    21,823.67/30,128.12 = 14,691.12/x
  3. Step 3: Cross multiply
    21,823.67x = 30,128.12 × 14,691.12
  4. Step 4: Simplify right side
    21,823.67x = 442,615,752.84
  5. Step 5: Solve for x
    x = 442,615,752.84/21,823.67
  6. Step 6: Final answer
    x = 20,281.46

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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.