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Finding the Fourth Proportional to 14,178.26, 19,565.88 and 7,890.50

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Solution

The fourth proportional to 14,178.26, 19,565.88 and 7,890.50 is: 10,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.26 : 19,565.88 = 7,890.50 : x
  2. Step 2: Convert to fraction form
    14,178.26/19,565.88 = 7,890.50/x
  3. Step 3: Cross multiply
    14,178.26x = 19,565.88 × 7,890.50
  4. Step 4: Simplify right side
    14,178.26x = 154,384,576.14
  5. Step 5: Solve for x
    x = 154,384,576.14/14,178.26
  6. Step 6: Final answer
    x = 10,888.82

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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.