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Finding the Fourth Proportional to 19,501.20, 29,251.80 and 8,971.20

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Solution

The fourth proportional to 19,501.20, 29,251.80 and 8,971.20 is: 13,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.20 : 29,251.80 = 8,971.20 : x
  2. Step 2: Convert to fraction form
    19,501.20/29,251.80 = 8,971.20/x
  3. Step 3: Cross multiply
    19,501.20x = 29,251.80 × 8,971.20
  4. Step 4: Simplify right side
    19,501.20x = 262,423,748.16
  5. Step 5: Solve for x
    x = 262,423,748.16/19,501.20
  6. Step 6: Final answer
    x = 13,456.80

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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.