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Finding the Fourth Proportional to 25,678.30, 35,435.40 and 14,347.86

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Solution

The fourth proportional to 25,678.30, 35,435.40 and 14,347.86 is: 19,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.30 : 35,435.40 = 14,347.86 : x
  2. Step 2: Convert to fraction form
    25,678.30/35,435.40 = 14,347.86/x
  3. Step 3: Cross multiply
    25,678.30x = 35,435.40 × 14,347.86
  4. Step 4: Simplify right side
    25,678.30x = 508,422,158.24
  5. Step 5: Solve for x
    x = 508,422,158.24/25,678.30
  6. Step 6: Final answer
    x = 19,799.68

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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.