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Finding the Fourth Proportional to 14,462.63, 21,693.95 and 5,228.63

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Solution

The fourth proportional to 14,462.63, 21,693.95 and 5,228.63 is: 7,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.63 : 21,693.95 = 5,228.63 : x
  2. Step 2: Convert to fraction form
    14,462.63/21,693.95 = 5,228.63/x
  3. Step 3: Cross multiply
    14,462.63x = 21,693.95 × 5,228.63
  4. Step 4: Simplify right side
    14,462.63x = 113,429,503.18
  5. Step 5: Solve for x
    x = 113,429,503.18/14,462.63
  6. Step 6: Final answer
    x = 7,842.94

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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.