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Finding the Fourth Proportional to 12,878.46, 19,317.69 and 7,031.88

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Solution

The fourth proportional to 12,878.46, 19,317.69 and 7,031.88 is: 10,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.46 : 19,317.69 = 7,031.88 : x
  2. Step 2: Convert to fraction form
    12,878.46/19,317.69 = 7,031.88/x
  3. Step 3: Cross multiply
    12,878.46x = 19,317.69 × 7,031.88
  4. Step 4: Simplify right side
    12,878.46x = 135,839,677.96
  5. Step 5: Solve for x
    x = 135,839,677.96/12,878.46
  6. Step 6: Final answer
    x = 10,547.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.