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Finding the Fourth Proportional to 14,508.24, 21,761.40 and 8,646.48

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Solution

The fourth proportional to 14,508.24, 21,761.40 and 8,646.48 is: 12,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.24 : 21,761.40 = 8,646.48 : x
  2. Step 2: Convert to fraction form
    14,508.24/21,761.40 = 8,646.48/x
  3. Step 3: Cross multiply
    14,508.24x = 21,761.40 × 8,646.48
  4. Step 4: Simplify right side
    14,508.24x = 188,159,509.87
  5. Step 5: Solve for x
    x = 188,159,509.87/14,508.24
  6. Step 6: Final answer
    x = 12,969.15

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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.