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Finding the Fourth Proportional to 12,714.82, 17,547.48 and 7,338.22

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Solution

The fourth proportional to 12,714.82, 17,547.48 and 7,338.22 is: 10,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.82 : 17,547.48 = 7,338.22 : x
  2. Step 2: Convert to fraction form
    12,714.82/17,547.48 = 7,338.22/x
  3. Step 3: Cross multiply
    12,714.82x = 17,547.48 × 7,338.22
  4. Step 4: Simplify right side
    12,714.82x = 128,767,268.69
  5. Step 5: Solve for x
    x = 128,767,268.69/12,714.82
  6. Step 6: Final answer
    x = 10,127.34

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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.