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Finding the Fourth Proportional to 27,133.86, 40,712.50 and 14,651.40

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Solution

The fourth proportional to 27,133.86, 40,712.50 and 14,651.40 is: 21,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.86 : 40,712.50 = 14,651.40 : x
  2. Step 2: Convert to fraction form
    27,133.86/40,712.50 = 14,651.40/x
  3. Step 3: Cross multiply
    27,133.86x = 40,712.50 × 14,651.40
  4. Step 4: Simplify right side
    27,133.86x = 596,495,122.50
  5. Step 5: Solve for x
    x = 596,495,122.50/27,133.86
  6. Step 6: Final answer
    x = 21,983.42

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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.