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Finding the Fourth Proportional to 12,175.50, 16,802.19 and 7,207.50

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Solution

The fourth proportional to 12,175.50, 16,802.19 and 7,207.50 is: 9,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.50 : 16,802.19 = 7,207.50 : x
  2. Step 2: Convert to fraction form
    12,175.50/16,802.19 = 7,207.50/x
  3. Step 3: Cross multiply
    12,175.50x = 16,802.19 × 7,207.50
  4. Step 4: Simplify right side
    12,175.50x = 121,101,784.43
  5. Step 5: Solve for x
    x = 121,101,784.43/12,175.50
  6. Step 6: Final answer
    x = 9,946.35

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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.