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Finding the Fourth Proportional to 12,985.80, 17,914.68 and 7,678.32

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Solution

The fourth proportional to 12,985.80, 17,914.68 and 7,678.32 is: 10,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.80 : 17,914.68 = 7,678.32 : x
  2. Step 2: Convert to fraction form
    12,985.80/17,914.68 = 7,678.32/x
  3. Step 3: Cross multiply
    12,985.80x = 17,914.68 × 7,678.32
  4. Step 4: Simplify right side
    12,985.80x = 137,554,645.74
  5. Step 5: Solve for x
    x = 137,554,645.74/12,985.80
  6. Step 6: Final answer
    x = 10,592.70

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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.