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Finding the Fourth Proportional to 26,447.34, 39,645.51 and 9,802.86

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Solution

The fourth proportional to 26,447.34, 39,645.51 and 9,802.86 is: 14,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,447.34 : 39,645.51 = 9,802.86 : x
  2. Step 2: Convert to fraction form
    26,447.34/39,645.51 = 9,802.86/x
  3. Step 3: Cross multiply
    26,447.34x = 39,645.51 × 9,802.86
  4. Step 4: Simplify right side
    26,447.34x = 388,639,384.16
  5. Step 5: Solve for x
    x = 388,639,384.16/26,447.34
  6. Step 6: Final answer
    x = 14,694.84

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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.