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Finding the Fourth Proportional to 21,510.63, 32,261.08 and 8,178.87

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Solution

The fourth proportional to 21,510.63, 32,261.08 and 8,178.87 is: 12,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.63 : 32,261.08 = 8,178.87 : x
  2. Step 2: Convert to fraction form
    21,510.63/32,261.08 = 8,178.87/x
  3. Step 3: Cross multiply
    21,510.63x = 32,261.08 × 8,178.87
  4. Step 4: Simplify right side
    21,510.63x = 263,859,113.78
  5. Step 5: Solve for x
    x = 263,859,113.78/21,510.63
  6. Step 6: Final answer
    x = 12,266.45

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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.