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Finding the Fourth Proportional to 26,224.76, 39,342 and 11,430.92

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Solution

The fourth proportional to 26,224.76, 39,342 and 11,430.92 is: 17,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.76 : 39,342 = 11,430.92 : x
  2. Step 2: Convert to fraction form
    26,224.76/39,342 = 11,430.92/x
  3. Step 3: Cross multiply
    26,224.76x = 39,342 × 11,430.92
  4. Step 4: Simplify right side
    26,224.76x = 449,715,254.64
  5. Step 5: Solve for x
    x = 449,715,254.64/26,224.76
  6. Step 6: Final answer
    x = 17,148.50

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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.