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Finding the Fourth Proportional to 12,783.90, 17,645.09 and 11,455.32

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Solution

The fourth proportional to 12,783.90, 17,645.09 and 11,455.32 is: 15,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.90 : 17,645.09 = 11,455.32 : x
  2. Step 2: Convert to fraction form
    12,783.90/17,645.09 = 11,455.32/x
  3. Step 3: Cross multiply
    12,783.90x = 17,645.09 × 11,455.32
  4. Step 4: Simplify right side
    12,783.90x = 202,130,095.10
  5. Step 5: Solve for x
    x = 202,130,095.10/12,783.90
  6. Step 6: Final answer
    x = 15,811.30

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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.