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Finding the Fourth Proportional to 12,032.98, 18,042.54 and 4,636.49

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Solution

The fourth proportional to 12,032.98, 18,042.54 and 4,636.49 is: 6,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.98 : 18,042.54 = 4,636.49 : x
  2. Step 2: Convert to fraction form
    12,032.98/18,042.54 = 4,636.49/x
  3. Step 3: Cross multiply
    12,032.98x = 18,042.54 × 4,636.49
  4. Step 4: Simplify right side
    12,032.98x = 83,653,966.07
  5. Step 5: Solve for x
    x = 83,653,966.07/12,032.98
  6. Step 6: Final answer
    x = 6,952.06

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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.