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Finding the Fourth Proportional to 26,433.42, 36,478.62 and 14,496

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Solution

The fourth proportional to 26,433.42, 36,478.62 and 14,496 is: 20,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,433.42 : 36,478.62 = 14,496 : x
  2. Step 2: Convert to fraction form
    26,433.42/36,478.62 = 14,496/x
  3. Step 3: Cross multiply
    26,433.42x = 36,478.62 × 14,496
  4. Step 4: Simplify right side
    26,433.42x = 528,794,075.52
  5. Step 5: Solve for x
    x = 528,794,075.52/26,433.42
  6. Step 6: Final answer
    x = 20,004.75

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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.