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Finding the Fourth Proportional to 24,302.34, 36,451.62 and 9,514.62

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Solution

The fourth proportional to 24,302.34, 36,451.62 and 9,514.62 is: 14,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.34 : 36,451.62 = 9,514.62 : x
  2. Step 2: Convert to fraction form
    24,302.34/36,451.62 = 9,514.62/x
  3. Step 3: Cross multiply
    24,302.34x = 36,451.62 × 9,514.62
  4. Step 4: Simplify right side
    24,302.34x = 346,823,312.68
  5. Step 5: Solve for x
    x = 346,823,312.68/24,302.34
  6. Step 6: Final answer
    x = 14,271.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.