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Finding the Fourth Proportional to 14,092.94, 19,439.70 and 9,312.93

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Solution

The fourth proportional to 14,092.94, 19,439.70 and 9,312.93 is: 12,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.94 : 19,439.70 = 9,312.93 : x
  2. Step 2: Convert to fraction form
    14,092.94/19,439.70 = 9,312.93/x
  3. Step 3: Cross multiply
    14,092.94x = 19,439.70 × 9,312.93
  4. Step 4: Simplify right side
    14,092.94x = 181,040,565.32
  5. Step 5: Solve for x
    x = 181,040,565.32/14,092.94
  6. Step 6: Final answer
    x = 12,846.19

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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.