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Finding the Fourth Proportional to 17,762.34, 24,510.70 and 10,208.68

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Solution

The fourth proportional to 17,762.34, 24,510.70 and 10,208.68 is: 14,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.34 : 24,510.70 = 10,208.68 : x
  2. Step 2: Convert to fraction form
    17,762.34/24,510.70 = 10,208.68/x
  3. Step 3: Cross multiply
    17,762.34x = 24,510.70 × 10,208.68
  4. Step 4: Simplify right side
    17,762.34x = 250,221,892.88
  5. Step 5: Solve for x
    x = 250,221,892.88/17,762.34
  6. Step 6: Final answer
    x = 14,087.21

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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.