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Finding the Fourth Proportional to 13,681.34, 20,497.29 and 6,291.98

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Solution

The fourth proportional to 13,681.34, 20,497.29 and 6,291.98 is: 9,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.34 : 20,497.29 = 6,291.98 : x
  2. Step 2: Convert to fraction form
    13,681.34/20,497.29 = 6,291.98/x
  3. Step 3: Cross multiply
    13,681.34x = 20,497.29 × 6,291.98
  4. Step 4: Simplify right side
    13,681.34x = 128,968,538.73
  5. Step 5: Solve for x
    x = 128,968,538.73/13,681.34
  6. Step 6: Final answer
    x = 9,426.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.