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Finding the Fourth Proportional to 12,714.15, 17,543.85 and 7,048.62

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Solution

The fourth proportional to 12,714.15, 17,543.85 and 7,048.62 is: 9,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.15 : 17,543.85 = 7,048.62 : x
  2. Step 2: Convert to fraction form
    12,714.15/17,543.85 = 7,048.62/x
  3. Step 3: Cross multiply
    12,714.15x = 17,543.85 × 7,048.62
  4. Step 4: Simplify right side
    12,714.15x = 123,659,931.99
  5. Step 5: Solve for x
    x = 123,659,931.99/12,714.15
  6. Step 6: Final answer
    x = 9,726.17

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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.