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Finding the Fourth Proportional to 24,866.50, 34,315.78 and 13,688.50

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Solution

The fourth proportional to 24,866.50, 34,315.78 and 13,688.50 is: 18,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.50 : 34,315.78 = 13,688.50 : x
  2. Step 2: Convert to fraction form
    24,866.50/34,315.78 = 13,688.50/x
  3. Step 3: Cross multiply
    24,866.50x = 34,315.78 × 13,688.50
  4. Step 4: Simplify right side
    24,866.50x = 469,731,554.53
  5. Step 5: Solve for x
    x = 469,731,554.53/24,866.50
  6. Step 6: Final answer
    x = 18,890.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.