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Finding the Fourth Proportional to 17,655.50, 24,366.75 and 10,203.50

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Solution

The fourth proportional to 17,655.50, 24,366.75 and 10,203.50 is: 14,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.50 : 24,366.75 = 10,203.50 : x
  2. Step 2: Convert to fraction form
    17,655.50/24,366.75 = 10,203.50/x
  3. Step 3: Cross multiply
    17,655.50x = 24,366.75 × 10,203.50
  4. Step 4: Simplify right side
    17,655.50x = 248,626,133.63
  5. Step 5: Solve for x
    x = 248,626,133.63/17,655.50
  6. Step 6: Final answer
    x = 14,082.08

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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.