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Finding the Fourth Proportional to 25,412.70, 38,068.02 and 14,302.74

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Solution

The fourth proportional to 25,412.70, 38,068.02 and 14,302.74 is: 21,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.70 : 38,068.02 = 14,302.74 : x
  2. Step 2: Convert to fraction form
    25,412.70/38,068.02 = 14,302.74/x
  3. Step 3: Cross multiply
    25,412.70x = 38,068.02 × 14,302.74
  4. Step 4: Simplify right side
    25,412.70x = 544,476,992.37
  5. Step 5: Solve for x
    x = 544,476,992.37/25,412.70
  6. Step 6: Final answer
    x = 21,425.39

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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.