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Finding the Fourth Proportional to 21,313.99, 31,970.99 and 7,459.75

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Solution

The fourth proportional to 21,313.99, 31,970.99 and 7,459.75 is: 11,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.99 : 31,970.99 = 7,459.75 : x
  2. Step 2: Convert to fraction form
    21,313.99/31,970.99 = 7,459.75/x
  3. Step 3: Cross multiply
    21,313.99x = 31,970.99 × 7,459.75
  4. Step 4: Simplify right side
    21,313.99x = 238,495,592.65
  5. Step 5: Solve for x
    x = 238,495,592.65/21,313.99
  6. Step 6: Final answer
    x = 11,189.63

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1.5x scale

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.