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Finding the Fourth Proportional to 20,994.50, 31,495 and 7,848.74

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Solution

The fourth proportional to 20,994.50, 31,495 and 7,848.74 is: 11,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994.50 : 31,495 = 7,848.74 : x
  2. Step 2: Convert to fraction form
    20,994.50/31,495 = 7,848.74/x
  3. Step 3: Cross multiply
    20,994.50x = 31,495 × 7,848.74
  4. Step 4: Simplify right side
    20,994.50x = 247,196,066.30
  5. Step 5: Solve for x
    x = 247,196,066.30/20,994.50
  6. Step 6: Final answer
    x = 11,774.33

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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.