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Finding the Fourth Proportional to 12,509.25, 17,265.08 and 8,038.59

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Solution

The fourth proportional to 12,509.25, 17,265.08 and 8,038.59 is: 11,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.25 : 17,265.08 = 8,038.59 : x
  2. Step 2: Convert to fraction form
    12,509.25/17,265.08 = 8,038.59/x
  3. Step 3: Cross multiply
    12,509.25x = 17,265.08 × 8,038.59
  4. Step 4: Simplify right side
    12,509.25x = 138,786,772.92
  5. Step 5: Solve for x
    x = 138,786,772.92/12,509.25
  6. Step 6: Final answer
    x = 11,094.74

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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.