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Finding the Fourth Proportional to 21,970.76, 32,969.10 and 8,129.48

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Solution

The fourth proportional to 21,970.76, 32,969.10 and 8,129.48 is: 12,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.76 : 32,969.10 = 8,129.48 : x
  2. Step 2: Convert to fraction form
    21,970.76/32,969.10 = 8,129.48/x
  3. Step 3: Cross multiply
    21,970.76x = 32,969.10 × 8,129.48
  4. Step 4: Simplify right side
    21,970.76x = 268,021,639.07
  5. Step 5: Solve for x
    x = 268,021,639.07/21,970.76
  6. Step 6: Final answer
    x = 12,199.02

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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.