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Finding the Fourth Proportional to 26,107, 36,029.82 and 14,931.16

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Solution

The fourth proportional to 26,107, 36,029.82 and 14,931.16 is: 20,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,107 : 36,029.82 = 14,931.16 : x
  2. Step 2: Convert to fraction form
    26,107/36,029.82 = 14,931.16/x
  3. Step 3: Cross multiply
    26,107x = 36,029.82 × 14,931.16
  4. Step 4: Simplify right side
    26,107x = 537,967,007.19
  5. Step 5: Solve for x
    x = 537,967,007.19/26,107
  6. Step 6: Final answer
    x = 20,606.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.