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Finding the Fourth Proportional to 25,412.34, 35,071.74 and 14,082.78

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Solution

The fourth proportional to 25,412.34, 35,071.74 and 14,082.78 is: 19,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.34 : 35,071.74 = 14,082.78 : x
  2. Step 2: Convert to fraction form
    25,412.34/35,071.74 = 14,082.78/x
  3. Step 3: Cross multiply
    25,412.34x = 35,071.74 × 14,082.78
  4. Step 4: Simplify right side
    25,412.34x = 493,907,598.64
  5. Step 5: Solve for x
    x = 493,907,598.64/25,412.34
  6. Step 6: Final answer
    x = 19,435.74

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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.