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Finding the Fourth Proportional to 27,365.66, 41,035.74 and 14,214.50

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Solution

The fourth proportional to 27,365.66, 41,035.74 and 14,214.50 is: 21,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365.66 : 41,035.74 = 14,214.50 : x
  2. Step 2: Convert to fraction form
    27,365.66/41,035.74 = 14,214.50/x
  3. Step 3: Cross multiply
    27,365.66x = 41,035.74 × 14,214.50
  4. Step 4: Simplify right side
    27,365.66x = 583,302,628.82
  5. Step 5: Solve for x
    x = 583,302,628.82/27,365.66
  6. Step 6: Final answer
    x = 21,315.13

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Why These Related Problems?

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