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Finding the Fourth Proportional to 23,767.16, 32,798.94 and 13,156.98

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Solution

The fourth proportional to 23,767.16, 32,798.94 and 13,156.98 is: 18,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.16 : 32,798.94 = 13,156.98 : x
  2. Step 2: Convert to fraction form
    23,767.16/32,798.94 = 13,156.98/x
  3. Step 3: Cross multiply
    23,767.16x = 32,798.94 × 13,156.98
  4. Step 4: Simplify right side
    23,767.16x = 431,534,997.60
  5. Step 5: Solve for x
    x = 431,534,997.60/23,767.16
  6. Step 6: Final answer
    x = 18,156.78

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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.