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Finding the Fourth Proportional to 19,708.84, 29,583.90 and 9,859.24

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Solution

The fourth proportional to 19,708.84, 29,583.90 and 9,859.24 is: 14,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.84 : 29,583.90 = 9,859.24 : x
  2. Step 2: Convert to fraction form
    19,708.84/29,583.90 = 9,859.24/x
  3. Step 3: Cross multiply
    19,708.84x = 29,583.90 × 9,859.24
  4. Step 4: Simplify right side
    19,708.84x = 291,674,770.24
  5. Step 5: Solve for x
    x = 291,674,770.24/19,708.84
  6. Step 6: Final answer
    x = 14,799.19

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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.