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Finding the Fourth Proportional to 20,402.64, 30,607.02 and 6,364.08

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Solution

The fourth proportional to 20,402.64, 30,607.02 and 6,364.08 is: 9,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.64 : 30,607.02 = 6,364.08 : x
  2. Step 2: Convert to fraction form
    20,402.64/30,607.02 = 6,364.08/x
  3. Step 3: Cross multiply
    20,402.64x = 30,607.02 × 6,364.08
  4. Step 4: Simplify right side
    20,402.64x = 194,785,523.84
  5. Step 5: Solve for x
    x = 194,785,523.84/20,402.64
  6. Step 6: Final answer
    x = 9,547.07

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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.