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Finding the Fourth Proportional to 26,006.76, 39,009.96 and 10,424.16

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Solution

The fourth proportional to 26,006.76, 39,009.96 and 10,424.16 is: 15,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.76 : 39,009.96 = 10,424.16 : x
  2. Step 2: Convert to fraction form
    26,006.76/39,009.96 = 10,424.16/x
  3. Step 3: Cross multiply
    26,006.76x = 39,009.96 × 10,424.16
  4. Step 4: Simplify right side
    26,006.76x = 406,646,064.63
  5. Step 5: Solve for x
    x = 406,646,064.63/26,006.76
  6. Step 6: Final answer
    x = 15,636.17

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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.