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Finding the Fourth Proportional to 17,214.50, 23,756.01 and 9,762.50

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Solution

The fourth proportional to 17,214.50, 23,756.01 and 9,762.50 is: 13,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.50 : 23,756.01 = 9,762.50 : x
  2. Step 2: Convert to fraction form
    17,214.50/23,756.01 = 9,762.50/x
  3. Step 3: Cross multiply
    17,214.50x = 23,756.01 × 9,762.50
  4. Step 4: Simplify right side
    17,214.50x = 231,918,047.63
  5. Step 5: Solve for x
    x = 231,918,047.63/17,214.50
  6. Step 6: Final answer
    x = 13,472.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.