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Finding the Fourth Proportional to 12,429.66, 18,653.80 and 7,756.50

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Solution

The fourth proportional to 12,429.66, 18,653.80 and 7,756.50 is: 11,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.66 : 18,653.80 = 7,756.50 : x
  2. Step 2: Convert to fraction form
    12,429.66/18,653.80 = 7,756.50/x
  3. Step 3: Cross multiply
    12,429.66x = 18,653.80 × 7,756.50
  4. Step 4: Simplify right side
    12,429.66x = 144,688,199.70
  5. Step 5: Solve for x
    x = 144,688,199.70/12,429.66
  6. Step 6: Final answer
    x = 11,640.56

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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.