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Finding the Fourth Proportional to 26,343.16, 39,512.58 and 7,875.16

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Solution

The fourth proportional to 26,343.16, 39,512.58 and 7,875.16 is: 11,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,343.16 : 39,512.58 = 7,875.16 : x
  2. Step 2: Convert to fraction form
    26,343.16/39,512.58 = 7,875.16/x
  3. Step 3: Cross multiply
    26,343.16x = 39,512.58 × 7,875.16
  4. Step 4: Simplify right side
    26,343.16x = 311,167,889.51
  5. Step 5: Solve for x
    x = 311,167,889.51/26,343.16
  6. Step 6: Final answer
    x = 11,812.09

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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.