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Finding the Fourth Proportional to 25,675.77, 35,432.15 and 14,345.42

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Solution

The fourth proportional to 25,675.77, 35,432.15 and 14,345.42 is: 19,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.77 : 35,432.15 = 14,345.42 : x
  2. Step 2: Convert to fraction form
    25,675.77/35,432.15 = 14,345.42/x
  3. Step 3: Cross multiply
    25,675.77x = 35,432.15 × 14,345.42
  4. Step 4: Simplify right side
    25,675.77x = 508,289,073.25
  5. Step 5: Solve for x
    x = 508,289,073.25/25,675.77
  6. Step 6: Final answer
    x = 19,796.45

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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.