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Finding the Fourth Proportional to 12,681.48, 17,501.94 and 7,091.40

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Solution

The fourth proportional to 12,681.48, 17,501.94 and 7,091.40 is: 9,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.48 : 17,501.94 = 7,091.40 : x
  2. Step 2: Convert to fraction form
    12,681.48/17,501.94 = 7,091.40/x
  3. Step 3: Cross multiply
    12,681.48x = 17,501.94 × 7,091.40
  4. Step 4: Simplify right side
    12,681.48x = 124,113,257.32
  5. Step 5: Solve for x
    x = 124,113,257.32/12,681.48
  6. Step 6: Final answer
    x = 9,786.97

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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.