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Finding the Fourth Proportional to 24,590.42, 33,934.74 and 13,412.42

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Solution

The fourth proportional to 24,590.42, 33,934.74 and 13,412.42 is: 18,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.42 : 33,934.74 = 13,412.42 : x
  2. Step 2: Convert to fraction form
    24,590.42/33,934.74 = 13,412.42/x
  3. Step 3: Cross multiply
    24,590.42x = 33,934.74 × 13,412.42
  4. Step 4: Simplify right side
    24,590.42x = 455,146,985.47
  5. Step 5: Solve for x
    x = 455,146,985.47/24,590.42
  6. Step 6: Final answer
    x = 18,509.12

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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.