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Finding the Fourth Proportional to 14,823.42, 22,243.86 and 5,470.02

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Solution

The fourth proportional to 14,823.42, 22,243.86 and 5,470.02 is: 8,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.42 : 22,243.86 = 5,470.02 : x
  2. Step 2: Convert to fraction form
    14,823.42/22,243.86 = 5,470.02/x
  3. Step 3: Cross multiply
    14,823.42x = 22,243.86 × 5,470.02
  4. Step 4: Simplify right side
    14,823.42x = 121,674,359.08
  5. Step 5: Solve for x
    x = 121,674,359.08/14,823.42
  6. Step 6: Final answer
    x = 8,208.25

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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.