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Finding the Fourth Proportional to 12,717.98, 17,554.47 and 7,681.40

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Solution

The fourth proportional to 12,717.98, 17,554.47 and 7,681.40 is: 10,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.98 : 17,554.47 = 7,681.40 : x
  2. Step 2: Convert to fraction form
    12,717.98/17,554.47 = 7,681.40/x
  3. Step 3: Cross multiply
    12,717.98x = 17,554.47 × 7,681.40
  4. Step 4: Simplify right side
    12,717.98x = 134,842,905.86
  5. Step 5: Solve for x
    x = 134,842,905.86/12,717.98
  6. Step 6: Final answer
    x = 10,602.54

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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.