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Finding the Fourth Proportional to 25,783.97, 38,678.65 and 10,994.45

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Solution

The fourth proportional to 25,783.97, 38,678.65 and 10,994.45 is: 16,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.97 : 38,678.65 = 10,994.45 : x
  2. Step 2: Convert to fraction form
    25,783.97/38,678.65 = 10,994.45/x
  3. Step 3: Cross multiply
    25,783.97x = 38,678.65 × 10,994.45
  4. Step 4: Simplify right side
    25,783.97x = 425,250,262.61
  5. Step 5: Solve for x
    x = 425,250,262.61/25,783.97
  6. Step 6: Final answer
    x = 16,492.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.