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Finding the Fourth Proportional to 18,680.64, 25,779.12 and 10,297.20

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Solution

The fourth proportional to 18,680.64, 25,779.12 and 10,297.20 is: 14,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680.64 : 25,779.12 = 10,297.20 : x
  2. Step 2: Convert to fraction form
    18,680.64/25,779.12 = 10,297.20/x
  3. Step 3: Cross multiply
    18,680.64x = 25,779.12 × 10,297.20
  4. Step 4: Simplify right side
    18,680.64x = 265,452,754.46
  5. Step 5: Solve for x
    x = 265,452,754.46/18,680.64
  6. Step 6: Final answer
    x = 14,210.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.