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Finding the Fourth Proportional to 25,589.58, 35,312.70 and 14,258.49

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Solution

The fourth proportional to 25,589.58, 35,312.70 and 14,258.49 is: 19,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.58 : 35,312.70 = 14,258.49 : x
  2. Step 2: Convert to fraction form
    25,589.58/35,312.70 = 14,258.49/x
  3. Step 3: Cross multiply
    25,589.58x = 35,312.70 × 14,258.49
  4. Step 4: Simplify right side
    25,589.58x = 503,505,779.82
  5. Step 5: Solve for x
    x = 503,505,779.82/25,589.58
  6. Step 6: Final answer
    x = 19,676.20

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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.