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Finding the Fourth Proportional to 24,315.57, 36,473.32 and 9,514.10

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Solution

The fourth proportional to 24,315.57, 36,473.32 and 9,514.10 is: 14,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.57 : 36,473.32 = 9,514.10 : x
  2. Step 2: Convert to fraction form
    24,315.57/36,473.32 = 9,514.10/x
  3. Step 3: Cross multiply
    24,315.57x = 36,473.32 × 9,514.10
  4. Step 4: Simplify right side
    24,315.57x = 347,010,813.81
  5. Step 5: Solve for x
    x = 347,010,813.81/24,315.57
  6. Step 6: Final answer
    x = 14,271.14

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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.