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Finding the Fourth Proportional to 12,483.50, 18,739.65 and 6,340.46

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Solution

The fourth proportional to 12,483.50, 18,739.65 and 6,340.46 is: 9,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.50 : 18,739.65 = 6,340.46 : x
  2. Step 2: Convert to fraction form
    12,483.50/18,739.65 = 6,340.46/x
  3. Step 3: Cross multiply
    12,483.50x = 18,739.65 × 6,340.46
  4. Step 4: Simplify right side
    12,483.50x = 118,818,001.24
  5. Step 5: Solve for x
    x = 118,818,001.24/12,483.50
  6. Step 6: Final answer
    x = 9,518.00

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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.