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Finding the Fourth Proportional to 12,977.32, 19,457.10 and 4,657.15

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Solution

The fourth proportional to 12,977.32, 19,457.10 and 4,657.15 is: 6,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.32 : 19,457.10 = 4,657.15 : x
  2. Step 2: Convert to fraction form
    12,977.32/19,457.10 = 4,657.15/x
  3. Step 3: Cross multiply
    12,977.32x = 19,457.10 × 4,657.15
  4. Step 4: Simplify right side
    12,977.32x = 90,614,633.27
  5. Step 5: Solve for x
    x = 90,614,633.27/12,977.32
  6. Step 6: Final answer
    x = 6,982.54

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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.