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Finding the Fourth Proportional to 19,509.17, 29,272.64 and 8,267.59

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Solution

The fourth proportional to 19,509.17, 29,272.64 and 8,267.59 is: 12,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.17 : 29,272.64 = 8,267.59 : x
  2. Step 2: Convert to fraction form
    19,509.17/29,272.64 = 8,267.59/x
  3. Step 3: Cross multiply
    19,509.17x = 29,272.64 × 8,267.59
  4. Step 4: Simplify right side
    19,509.17x = 242,014,062.84
  5. Step 5: Solve for x
    x = 242,014,062.84/19,509.17
  6. Step 6: Final answer
    x = 12,405.14

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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.