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Finding the Fourth Proportional to 26,548.71, 36,638.10 and 14,612.55

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Solution

The fourth proportional to 26,548.71, 36,638.10 and 14,612.55 is: 20,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.71 : 36,638.10 = 14,612.55 : x
  2. Step 2: Convert to fraction form
    26,548.71/36,638.10 = 14,612.55/x
  3. Step 3: Cross multiply
    26,548.71x = 36,638.10 × 14,612.55
  4. Step 4: Simplify right side
    26,548.71x = 535,376,068.16
  5. Step 5: Solve for x
    x = 535,376,068.16/26,548.71
  6. Step 6: Final answer
    x = 20,165.80

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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.