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Finding the Fourth Proportional to 24,315.84, 36,473.70 and 9,514.38

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Solution

The fourth proportional to 24,315.84, 36,473.70 and 9,514.38 is: 14,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.84 : 36,473.70 = 9,514.38 : x
  2. Step 2: Convert to fraction form
    24,315.84/36,473.70 = 9,514.38/x
  3. Step 3: Cross multiply
    24,315.84x = 36,473.70 × 9,514.38
  4. Step 4: Simplify right side
    24,315.84x = 347,024,641.81
  5. Step 5: Solve for x
    x = 347,024,641.81/24,315.84
  6. Step 6: Final answer
    x = 14,271.55

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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.