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Finding the Fourth Proportional to 14,833.16, 22,247.58 and 5,597

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Solution

The fourth proportional to 14,833.16, 22,247.58 and 5,597 is: 8,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.16 : 22,247.58 = 5,597 : x
  2. Step 2: Convert to fraction form
    14,833.16/22,247.58 = 5,597/x
  3. Step 3: Cross multiply
    14,833.16x = 22,247.58 × 5,597
  4. Step 4: Simplify right side
    14,833.16x = 124,519,705.26
  5. Step 5: Solve for x
    x = 124,519,705.26/14,833.16
  6. Step 6: Final answer
    x = 8,394.68

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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.