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Finding the Fourth Proportional to 12,804.51, 17,681.14 and 8,032.49

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Solution

The fourth proportional to 12,804.51, 17,681.14 and 8,032.49 is: 11,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.51 : 17,681.14 = 8,032.49 : x
  2. Step 2: Convert to fraction form
    12,804.51/17,681.14 = 8,032.49/x
  3. Step 3: Cross multiply
    12,804.51x = 17,681.14 × 8,032.49
  4. Step 4: Simplify right side
    12,804.51x = 142,023,580.24
  5. Step 5: Solve for x
    x = 142,023,580.24/12,804.51
  6. Step 6: Final answer
    x = 11,091.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.