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Finding the Fourth Proportional to 12,716.49, 19,050.14 and 7,152.93

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Solution

The fourth proportional to 12,716.49, 19,050.14 and 7,152.93 is: 10,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.49 : 19,050.14 = 7,152.93 : x
  2. Step 2: Convert to fraction form
    12,716.49/19,050.14 = 7,152.93/x
  3. Step 3: Cross multiply
    12,716.49x = 19,050.14 × 7,152.93
  4. Step 4: Simplify right side
    12,716.49x = 136,264,282.15
  5. Step 5: Solve for x
    x = 136,264,282.15/12,716.49
  6. Step 6: Final answer
    x = 10,715.56

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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.