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Finding the Fourth Proportional to 14,312.61, 19,753.23 and 8,344.33

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Solution

The fourth proportional to 14,312.61, 19,753.23 and 8,344.33 is: 11,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.61 : 19,753.23 = 8,344.33 : x
  2. Step 2: Convert to fraction form
    14,312.61/19,753.23 = 8,344.33/x
  3. Step 3: Cross multiply
    14,312.61x = 19,753.23 × 8,344.33
  4. Step 4: Simplify right side
    14,312.61x = 164,827,451.59
  5. Step 5: Solve for x
    x = 164,827,451.59/14,312.61
  6. Step 6: Final answer
    x = 11,516.24

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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.