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Finding the Fourth Proportional to 12,785.72, 17,643.22 and 7,407.32

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Solution

The fourth proportional to 12,785.72, 17,643.22 and 7,407.32 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.72 : 17,643.22 = 7,407.32 : x
  2. Step 2: Convert to fraction form
    12,785.72/17,643.22 = 7,407.32/x
  3. Step 3: Cross multiply
    12,785.72x = 17,643.22 × 7,407.32
  4. Step 4: Simplify right side
    12,785.72x = 130,688,869.64
  5. Step 5: Solve for x
    x = 130,688,869.64/12,785.72
  6. Step 6: Final answer
    x = 10,221.48

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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.