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Finding the Fourth Proportional to 24,710.46, 34,100.46 and 13,380.06

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Solution

The fourth proportional to 24,710.46, 34,100.46 and 13,380.06 is: 18,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.46 : 34,100.46 = 13,380.06 : x
  2. Step 2: Convert to fraction form
    24,710.46/34,100.46 = 13,380.06/x
  3. Step 3: Cross multiply
    24,710.46x = 34,100.46 × 13,380.06
  4. Step 4: Simplify right side
    24,710.46x = 456,266,200.83
  5. Step 5: Solve for x
    x = 456,266,200.83/24,710.46
  6. Step 6: Final answer
    x = 18,464.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.