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Finding the Fourth Proportional to 21,048.66, 31,588.58 and 9,958.75

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Solution

The fourth proportional to 21,048.66, 31,588.58 and 9,958.75 is: 14,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.66 : 31,588.58 = 9,958.75 : x
  2. Step 2: Convert to fraction form
    21,048.66/31,588.58 = 9,958.75/x
  3. Step 3: Cross multiply
    21,048.66x = 31,588.58 × 9,958.75
  4. Step 4: Simplify right side
    21,048.66x = 314,582,717.00
  5. Step 5: Solve for x
    x = 314,582,717.00/21,048.66
  6. Step 6: Final answer
    x = 14,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.