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Finding the Fourth Proportional to 24,734.98, 37,114.65 and 11,585.08

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Solution

The fourth proportional to 24,734.98, 37,114.65 and 11,585.08 is: 17,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.98 : 37,114.65 = 11,585.08 : x
  2. Step 2: Convert to fraction form
    24,734.98/37,114.65 = 11,585.08/x
  3. Step 3: Cross multiply
    24,734.98x = 37,114.65 × 11,585.08
  4. Step 4: Simplify right side
    24,734.98x = 429,976,189.42
  5. Step 5: Solve for x
    x = 429,976,189.42/24,734.98
  6. Step 6: Final answer
    x = 17,383.32

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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.