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Finding the Fourth Proportional to 12,397.50, 18,596.25 and 7,783.74

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Solution

The fourth proportional to 12,397.50, 18,596.25 and 7,783.74 is: 11,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.50 : 18,596.25 = 7,783.74 : x
  2. Step 2: Convert to fraction form
    12,397.50/18,596.25 = 7,783.74/x
  3. Step 3: Cross multiply
    12,397.50x = 18,596.25 × 7,783.74
  4. Step 4: Simplify right side
    12,397.50x = 144,748,374.98
  5. Step 5: Solve for x
    x = 144,748,374.98/12,397.50
  6. Step 6: Final answer
    x = 11,675.61

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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.