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Finding the Fourth Proportional to 27,032.69, 40,549.05 and 13,876.67

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Solution

The fourth proportional to 27,032.69, 40,549.05 and 13,876.67 is: 20,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032.69 : 40,549.05 = 13,876.67 : x
  2. Step 2: Convert to fraction form
    27,032.69/40,549.05 = 13,876.67/x
  3. Step 3: Cross multiply
    27,032.69x = 40,549.05 × 13,876.67
  4. Step 4: Simplify right side
    27,032.69x = 562,685,582.92
  5. Step 5: Solve for x
    x = 562,685,582.92/27,032.69
  6. Step 6: Final answer
    x = 20,815.01

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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.