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Finding the Fourth Proportional to 25,581, 35,302.84 and 14,250.49

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Solution

The fourth proportional to 25,581, 35,302.84 and 14,250.49 is: 19,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,581 : 35,302.84 = 14,250.49 : x
  2. Step 2: Convert to fraction form
    25,581/35,302.84 = 14,250.49/x
  3. Step 3: Cross multiply
    25,581x = 35,302.84 × 14,250.49
  4. Step 4: Simplify right side
    25,581x = 503,082,768.39
  5. Step 5: Solve for x
    x = 503,082,768.39/25,581
  6. Step 6: Final answer
    x = 19,666.27

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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.