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Finding the Fourth Proportional to 14,980.72, 22,473.96 and 5,746

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Solution

The fourth proportional to 14,980.72, 22,473.96 and 5,746 is: 8,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.72 : 22,473.96 = 5,746 : x
  2. Step 2: Convert to fraction form
    14,980.72/22,473.96 = 5,746/x
  3. Step 3: Cross multiply
    14,980.72x = 22,473.96 × 5,746
  4. Step 4: Simplify right side
    14,980.72x = 129,135,374.16
  5. Step 5: Solve for x
    x = 129,135,374.16/14,980.72
  6. Step 6: Final answer
    x = 8,620.10

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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.