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Finding the Fourth Proportional to 24,292.71, 33,524.01 and 14,085.72

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Solution

The fourth proportional to 24,292.71, 33,524.01 and 14,085.72 is: 19,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.71 : 33,524.01 = 14,085.72 : x
  2. Step 2: Convert to fraction form
    24,292.71/33,524.01 = 14,085.72/x
  3. Step 3: Cross multiply
    24,292.71x = 33,524.01 × 14,085.72
  4. Step 4: Simplify right side
    24,292.71x = 472,209,818.14
  5. Step 5: Solve for x
    x = 472,209,818.14/24,292.71
  6. Step 6: Final answer
    x = 19,438.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.