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Finding the Fourth Proportional to 12,733.50, 19,107.93 and 5,437.50

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Solution

The fourth proportional to 12,733.50, 19,107.93 and 5,437.50 is: 8,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.50 : 19,107.93 = 5,437.50 : x
  2. Step 2: Convert to fraction form
    12,733.50/19,107.93 = 5,437.50/x
  3. Step 3: Cross multiply
    12,733.50x = 19,107.93 × 5,437.50
  4. Step 4: Simplify right side
    12,733.50x = 103,899,369.38
  5. Step 5: Solve for x
    x = 103,899,369.38/12,733.50
  6. Step 6: Final answer
    x = 8,159.53

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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.