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Finding the Fourth Proportional to 12,398.50, 17,109.93 and 6,809.50

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Solution

The fourth proportional to 12,398.50, 17,109.93 and 6,809.50 is: 9,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.50 : 17,109.93 = 6,809.50 : x
  2. Step 2: Convert to fraction form
    12,398.50/17,109.93 = 6,809.50/x
  3. Step 3: Cross multiply
    12,398.50x = 17,109.93 × 6,809.50
  4. Step 4: Simplify right side
    12,398.50x = 116,510,068.34
  5. Step 5: Solve for x
    x = 116,510,068.34/12,398.50
  6. Step 6: Final answer
    x = 9,397.11

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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.