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Finding the Fourth Proportional to 20,328.64, 30,492.96 and 6,478.72

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Solution

The fourth proportional to 20,328.64, 30,492.96 and 6,478.72 is: 9,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.64 : 30,492.96 = 6,478.72 : x
  2. Step 2: Convert to fraction form
    20,328.64/30,492.96 = 6,478.72/x
  3. Step 3: Cross multiply
    20,328.64x = 30,492.96 × 6,478.72
  4. Step 4: Simplify right side
    20,328.64x = 197,555,349.81
  5. Step 5: Solve for x
    x = 197,555,349.81/20,328.64
  6. Step 6: Final answer
    x = 9,718.08

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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.