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Finding the Fourth Proportional to 14,086.40, 19,455.16 and 9,602.44

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Solution

The fourth proportional to 14,086.40, 19,455.16 and 9,602.44 is: 13,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.40 : 19,455.16 = 9,602.44 : x
  2. Step 2: Convert to fraction form
    14,086.40/19,455.16 = 9,602.44/x
  3. Step 3: Cross multiply
    14,086.40x = 19,455.16 × 9,602.44
  4. Step 4: Simplify right side
    14,086.40x = 186,817,006.59
  5. Step 5: Solve for x
    x = 186,817,006.59/14,086.40
  6. Step 6: Final answer
    x = 13,262.23

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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.