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Finding the Fourth Proportional to 12,242.48, 16,898.45 and 7,206.31

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Solution

The fourth proportional to 12,242.48, 16,898.45 and 7,206.31 is: 9,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.48 : 16,898.45 = 7,206.31 : x
  2. Step 2: Convert to fraction form
    12,242.48/16,898.45 = 7,206.31/x
  3. Step 3: Cross multiply
    12,242.48x = 16,898.45 × 7,206.31
  4. Step 4: Simplify right side
    12,242.48x = 121,775,390.94
  5. Step 5: Solve for x
    x = 121,775,390.94/12,242.48
  6. Step 6: Final answer
    x = 9,946.95

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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.