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Finding the Fourth Proportional to 26,395.04, 36,423.60 and 14,456

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Solution

The fourth proportional to 26,395.04, 36,423.60 and 14,456 is: 19,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,395.04 : 36,423.60 = 14,456 : x
  2. Step 2: Convert to fraction form
    26,395.04/36,423.60 = 14,456/x
  3. Step 3: Cross multiply
    26,395.04x = 36,423.60 × 14,456
  4. Step 4: Simplify right side
    26,395.04x = 526,539,561.60
  5. Step 5: Solve for x
    x = 526,539,561.60/26,395.04
  6. Step 6: Final answer
    x = 19,948.43

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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.