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Finding the Fourth Proportional to 17,468.22, 24,102.18 and 14,646.98

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Solution

The fourth proportional to 17,468.22, 24,102.18 and 14,646.98 is: 20,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.22 : 24,102.18 = 14,646.98 : x
  2. Step 2: Convert to fraction form
    17,468.22/24,102.18 = 14,646.98/x
  3. Step 3: Cross multiply
    17,468.22x = 24,102.18 × 14,646.98
  4. Step 4: Simplify right side
    17,468.22x = 353,024,148.42
  5. Step 5: Solve for x
    x = 353,024,148.42/17,468.22
  6. Step 6: Final answer
    x = 20,209.51

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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.