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Finding the Fourth Proportional to 12,684.14, 17,498.16 and 8,437.28

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Solution

The fourth proportional to 12,684.14, 17,498.16 and 8,437.28 is: 11,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.14 : 17,498.16 = 8,437.28 : x
  2. Step 2: Convert to fraction form
    12,684.14/17,498.16 = 8,437.28/x
  3. Step 3: Cross multiply
    12,684.14x = 17,498.16 × 8,437.28
  4. Step 4: Simplify right side
    12,684.14x = 147,636,875.40
  5. Step 5: Solve for x
    x = 147,636,875.40/12,684.14
  6. Step 6: Final answer
    x = 11,639.49

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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.