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Finding the Fourth Proportional to 25,675.32, 35,428.84 and 14,345.44

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Solution

The fourth proportional to 25,675.32, 35,428.84 and 14,345.44 is: 19,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.32 : 35,428.84 = 14,345.44 : x
  2. Step 2: Convert to fraction form
    25,675.32/35,428.84 = 14,345.44/x
  3. Step 3: Cross multiply
    25,675.32x = 35,428.84 × 14,345.44
  4. Step 4: Simplify right side
    25,675.32x = 508,242,298.49
  5. Step 5: Solve for x
    x = 508,242,298.49/25,675.32
  6. Step 6: Final answer
    x = 19,794.97

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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.