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Finding the Fourth Proportional to 14,195.30, 21,264.15 and 8,032.10

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Solution

The fourth proportional to 14,195.30, 21,264.15 and 8,032.10 is: 12,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.30 : 21,264.15 = 8,032.10 : x
  2. Step 2: Convert to fraction form
    14,195.30/21,264.15 = 8,032.10/x
  3. Step 3: Cross multiply
    14,195.30x = 21,264.15 × 8,032.10
  4. Step 4: Simplify right side
    14,195.30x = 170,795,779.22
  5. Step 5: Solve for x
    x = 170,795,779.22/14,195.30
  6. Step 6: Final answer
    x = 12,031.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.