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Finding the Fourth Proportional to 26,160.16, 36,096.96 and 14,980

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Solution

The fourth proportional to 26,160.16, 36,096.96 and 14,980 is: 20,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160.16 : 36,096.96 = 14,980 : x
  2. Step 2: Convert to fraction form
    26,160.16/36,096.96 = 14,980/x
  3. Step 3: Cross multiply
    26,160.16x = 36,096.96 × 14,980
  4. Step 4: Simplify right side
    26,160.16x = 540,732,460.80
  5. Step 5: Solve for x
    x = 540,732,460.80/26,160.16
  6. Step 6: Final answer
    x = 20,670.07

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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.