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Finding the Fourth Proportional to 14,152.29, 19,509.57 and 9,890.12

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Solution

The fourth proportional to 14,152.29, 19,509.57 and 9,890.12 is: 13,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.29 : 19,509.57 = 9,890.12 : x
  2. Step 2: Convert to fraction form
    14,152.29/19,509.57 = 9,890.12/x
  3. Step 3: Cross multiply
    14,152.29x = 19,509.57 × 9,890.12
  4. Step 4: Simplify right side
    14,152.29x = 192,951,964.57
  5. Step 5: Solve for x
    x = 192,951,964.57/14,152.29
  6. Step 6: Final answer
    x = 13,633.98

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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.