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Finding the Fourth Proportional to 14,261.76, 19,681.23 and 7,974.15

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Solution

The fourth proportional to 14,261.76, 19,681.23 and 7,974.15 is: 11,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.76 : 19,681.23 = 7,974.15 : x
  2. Step 2: Convert to fraction form
    14,261.76/19,681.23 = 7,974.15/x
  3. Step 3: Cross multiply
    14,261.76x = 19,681.23 × 7,974.15
  4. Step 4: Simplify right side
    14,261.76x = 156,941,080.20
  5. Step 5: Solve for x
    x = 156,941,080.20/14,261.76
  6. Step 6: Final answer
    x = 11,004.33

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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.