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Finding the Fourth Proportional to 18,281, 27,421.50 and 5,969

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Solution

The fourth proportional to 18,281, 27,421.50 and 5,969 is: 8,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281 : 27,421.50 = 5,969 : x
  2. Step 2: Convert to fraction form
    18,281/27,421.50 = 5,969/x
  3. Step 3: Cross multiply
    18,281x = 27,421.50 × 5,969
  4. Step 4: Simplify right side
    18,281x = 163,678,933.50
  5. Step 5: Solve for x
    x = 163,678,933.50/18,281
  6. Step 6: Final answer
    x = 8,953.50

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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.