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Finding the Fourth Proportional to 17,714.34, 24,436.41 and 10,539.16

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Solution

The fourth proportional to 17,714.34, 24,436.41 and 10,539.16 is: 14,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.34 : 24,436.41 = 10,539.16 : x
  2. Step 2: Convert to fraction form
    17,714.34/24,436.41 = 10,539.16/x
  3. Step 3: Cross multiply
    17,714.34x = 24,436.41 × 10,539.16
  4. Step 4: Simplify right side
    17,714.34x = 257,539,234.82
  5. Step 5: Solve for x
    x = 257,539,234.82/17,714.34
  6. Step 6: Final answer
    x = 14,538.46

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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.