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Finding the Fourth Proportional to 12,263.70, 18,417.15 and 9,497.10

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Solution

The fourth proportional to 12,263.70, 18,417.15 and 9,497.10 is: 14,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.70 : 18,417.15 = 9,497.10 : x
  2. Step 2: Convert to fraction form
    12,263.70/18,417.15 = 9,497.10/x
  3. Step 3: Cross multiply
    12,263.70x = 18,417.15 × 9,497.10
  4. Step 4: Simplify right side
    12,263.70x = 174,909,515.27
  5. Step 5: Solve for x
    x = 174,909,515.27/12,263.70
  6. Step 6: Final answer
    x = 14,262.38

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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.