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Finding the Fourth Proportional to 20,186.42, 30,259.95 and 9,653.68

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Solution

The fourth proportional to 20,186.42, 30,259.95 and 9,653.68 is: 14,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.42 : 30,259.95 = 9,653.68 : x
  2. Step 2: Convert to fraction form
    20,186.42/30,259.95 = 9,653.68/x
  3. Step 3: Cross multiply
    20,186.42x = 30,259.95 × 9,653.68
  4. Step 4: Simplify right side
    20,186.42x = 292,119,875.74
  5. Step 5: Solve for x
    x = 292,119,875.74/20,186.42
  6. Step 6: Final answer
    x = 14,471.11

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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.