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Finding the Fourth Proportional to 21,957.66, 32,941.35 and 10,264.50

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Solution

The fourth proportional to 21,957.66, 32,941.35 and 10,264.50 is: 15,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.66 : 32,941.35 = 10,264.50 : x
  2. Step 2: Convert to fraction form
    21,957.66/32,941.35 = 10,264.50/x
  3. Step 3: Cross multiply
    21,957.66x = 32,941.35 × 10,264.50
  4. Step 4: Simplify right side
    21,957.66x = 338,126,487.08
  5. Step 5: Solve for x
    x = 338,126,487.08/21,957.66
  6. Step 6: Final answer
    x = 15,399.02

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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.