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Finding the Fourth Proportional to 12,714.77, 17,547.41 and 7,051.29

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Solution

The fourth proportional to 12,714.77, 17,547.41 and 7,051.29 is: 9,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.77 : 17,547.41 = 7,051.29 : x
  2. Step 2: Convert to fraction form
    12,714.77/17,547.41 = 7,051.29/x
  3. Step 3: Cross multiply
    12,714.77x = 17,547.41 × 7,051.29
  4. Step 4: Simplify right side
    12,714.77x = 123,731,841.40
  5. Step 5: Solve for x
    x = 123,731,841.40/12,714.77
  6. Step 6: Final answer
    x = 9,731.35

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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.