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Finding the Fourth Proportional to 13,019.32, 17,950.98 and 10,783.72

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Solution

The fourth proportional to 13,019.32, 17,950.98 and 10,783.72 is: 14,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.32 : 17,950.98 = 10,783.72 : x
  2. Step 2: Convert to fraction form
    13,019.32/17,950.98 = 10,783.72/x
  3. Step 3: Cross multiply
    13,019.32x = 17,950.98 × 10,783.72
  4. Step 4: Simplify right side
    13,019.32x = 193,578,342.05
  5. Step 5: Solve for x
    x = 193,578,342.05/13,019.32
  6. Step 6: Final answer
    x = 14,868.54

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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.