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Finding the Fourth Proportional to 24,538.63, 36,808.55 and 8,956.25

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Solution

The fourth proportional to 24,538.63, 36,808.55 and 8,956.25 is: 13,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.63 : 36,808.55 = 8,956.25 : x
  2. Step 2: Convert to fraction form
    24,538.63/36,808.55 = 8,956.25/x
  3. Step 3: Cross multiply
    24,538.63x = 36,808.55 × 8,956.25
  4. Step 4: Simplify right side
    24,538.63x = 329,666,575.94
  5. Step 5: Solve for x
    x = 329,666,575.94/24,538.63
  6. Step 6: Final answer
    x = 13,434.60

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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.