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Finding the Fourth Proportional to 14,589.40, 21,851.70 and 7,655.80

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Solution

The fourth proportional to 14,589.40, 21,851.70 and 7,655.80 is: 11,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.40 : 21,851.70 = 7,655.80 : x
  2. Step 2: Convert to fraction form
    14,589.40/21,851.70 = 7,655.80/x
  3. Step 3: Cross multiply
    14,589.40x = 21,851.70 × 7,655.80
  4. Step 4: Simplify right side
    14,589.40x = 167,292,244.86
  5. Step 5: Solve for x
    x = 167,292,244.86/14,589.40
  6. Step 6: Final answer
    x = 11,466.70

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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.