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Finding the Fourth Proportional to 12,794.19, 17,655.90 and 7,129.02

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Solution

The fourth proportional to 12,794.19, 17,655.90 and 7,129.02 is: 9,838.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.19 : 17,655.90 = 7,129.02 : x
  2. Step 2: Convert to fraction form
    12,794.19/17,655.90 = 7,129.02/x
  3. Step 3: Cross multiply
    12,794.19x = 17,655.90 × 7,129.02
  4. Step 4: Simplify right side
    12,794.19x = 125,869,264.22
  5. Step 5: Solve for x
    x = 125,869,264.22/12,794.19
  6. Step 6: Final answer
    x = 9,838.00

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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.