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Finding the Fourth Proportional to 19,762.84, 29,659.80 and 8,677.18

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Solution

The fourth proportional to 19,762.84, 29,659.80 and 8,677.18 is: 13,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.84 : 29,659.80 = 8,677.18 : x
  2. Step 2: Convert to fraction form
    19,762.84/29,659.80 = 8,677.18/x
  3. Step 3: Cross multiply
    19,762.84x = 29,659.80 × 8,677.18
  4. Step 4: Simplify right side
    19,762.84x = 257,363,423.36
  5. Step 5: Solve for x
    x = 257,363,423.36/19,762.84
  6. Step 6: Final answer
    x = 13,022.59

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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.