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Finding the Fourth Proportional to 14,565.46, 21,835.23 and 6,770.02

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Solution

The fourth proportional to 14,565.46, 21,835.23 and 6,770.02 is: 10,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.46 : 21,835.23 = 6,770.02 : x
  2. Step 2: Convert to fraction form
    14,565.46/21,835.23 = 6,770.02/x
  3. Step 3: Cross multiply
    14,565.46x = 21,835.23 × 6,770.02
  4. Step 4: Simplify right side
    14,565.46x = 147,824,943.80
  5. Step 5: Solve for x
    x = 147,824,943.80/14,565.46
  6. Step 6: Final answer
    x = 10,149.01

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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.