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Finding the Fourth Proportional to 14,980.08, 22,473.32 and 5,746

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Solution

The fourth proportional to 14,980.08, 22,473.32 and 5,746 is: 8,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.08 : 22,473.32 = 5,746 : x
  2. Step 2: Convert to fraction form
    14,980.08/22,473.32 = 5,746/x
  3. Step 3: Cross multiply
    14,980.08x = 22,473.32 × 5,746
  4. Step 4: Simplify right side
    14,980.08x = 129,131,696.72
  5. Step 5: Solve for x
    x = 129,131,696.72/14,980.08
  6. Step 6: Final answer
    x = 8,620.23

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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.