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Finding the Fourth Proportional to 14,031.34, 19,354.71 and 8,362.36

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Solution

The fourth proportional to 14,031.34, 19,354.71 and 8,362.36 is: 11,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.34 : 19,354.71 = 8,362.36 : x
  2. Step 2: Convert to fraction form
    14,031.34/19,354.71 = 8,362.36/x
  3. Step 3: Cross multiply
    14,031.34x = 19,354.71 × 8,362.36
  4. Step 4: Simplify right side
    14,031.34x = 161,851,052.72
  5. Step 5: Solve for x
    x = 161,851,052.72/14,031.34
  6. Step 6: Final answer
    x = 11,534.97

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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.