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Finding the Fourth Proportional to 14,294.30, 21,441.46 and 7,723.58

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Solution

The fourth proportional to 14,294.30, 21,441.46 and 7,723.58 is: 11,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.30 : 21,441.46 = 7,723.58 : x
  2. Step 2: Convert to fraction form
    14,294.30/21,441.46 = 7,723.58/x
  3. Step 3: Cross multiply
    14,294.30x = 21,441.46 × 7,723.58
  4. Step 4: Simplify right side
    14,294.30x = 165,604,831.63
  5. Step 5: Solve for x
    x = 165,604,831.63/14,294.30
  6. Step 6: Final answer
    x = 11,585.38

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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.