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Finding the Fourth Proportional to 27,215.86, 40,806.02 and 11,430.98

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Solution

The fourth proportional to 27,215.86, 40,806.02 and 11,430.98 is: 17,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215.86 : 40,806.02 = 11,430.98 : x
  2. Step 2: Convert to fraction form
    27,215.86/40,806.02 = 11,430.98/x
  3. Step 3: Cross multiply
    27,215.86x = 40,806.02 × 11,430.98
  4. Step 4: Simplify right side
    27,215.86x = 466,452,798.50
  5. Step 5: Solve for x
    x = 466,452,798.50/27,215.86
  6. Step 6: Final answer
    x = 17,139.01

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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.