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Finding the Fourth Proportional to 28,101.96, 42,178.50 and 14,965.38

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Solution

The fourth proportional to 28,101.96, 42,178.50 and 14,965.38 is: 22,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,101.96 : 42,178.50 = 14,965.38 : x
  2. Step 2: Convert to fraction form
    28,101.96/42,178.50 = 14,965.38/x
  3. Step 3: Cross multiply
    28,101.96x = 42,178.50 × 14,965.38
  4. Step 4: Simplify right side
    28,101.96x = 631,217,280.33
  5. Step 5: Solve for x
    x = 631,217,280.33/28,101.96
  6. Step 6: Final answer
    x = 22,461.68

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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.