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Finding the Fourth Proportional to 21,749.50, 32,624.25 and 9,437.50

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Solution

The fourth proportional to 21,749.50, 32,624.25 and 9,437.50 is: 14,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.50 : 32,624.25 = 9,437.50 : x
  2. Step 2: Convert to fraction form
    21,749.50/32,624.25 = 9,437.50/x
  3. Step 3: Cross multiply
    21,749.50x = 32,624.25 × 9,437.50
  4. Step 4: Simplify right side
    21,749.50x = 307,891,359.38
  5. Step 5: Solve for x
    x = 307,891,359.38/21,749.50
  6. Step 6: Final answer
    x = 14,156.25

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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.