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Finding the Fourth Proportional to 20,036.32, 30,074 and 9,655.36

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Solution

The fourth proportional to 20,036.32, 30,074 and 9,655.36 is: 14,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.32 : 30,074 = 9,655.36 : x
  2. Step 2: Convert to fraction form
    20,036.32/30,074 = 9,655.36/x
  3. Step 3: Cross multiply
    20,036.32x = 30,074 × 9,655.36
  4. Step 4: Simplify right side
    20,036.32x = 290,375,296.64
  5. Step 5: Solve for x
    x = 290,375,296.64/20,036.32
  6. Step 6: Final answer
    x = 14,492.45

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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.