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Finding the Fourth Proportional to 14,393.80, 21,590.70 and 10,420.75

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Solution

The fourth proportional to 14,393.80, 21,590.70 and 10,420.75 is: 15,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.80 : 21,590.70 = 10,420.75 : x
  2. Step 2: Convert to fraction form
    14,393.80/21,590.70 = 10,420.75/x
  3. Step 3: Cross multiply
    14,393.80x = 21,590.70 × 10,420.75
  4. Step 4: Simplify right side
    14,393.80x = 224,991,287.03
  5. Step 5: Solve for x
    x = 224,991,287.03/14,393.80
  6. Step 6: Final answer
    x = 15,631.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.