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Finding the Fourth Proportional to 12,872.71, 19,307.44 and 4,106.89

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Solution

The fourth proportional to 12,872.71, 19,307.44 and 4,106.89 is: 6,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.71 : 19,307.44 = 4,106.89 : x
  2. Step 2: Convert to fraction form
    12,872.71/19,307.44 = 4,106.89/x
  3. Step 3: Cross multiply
    12,872.71x = 19,307.44 × 4,106.89
  4. Step 4: Simplify right side
    12,872.71x = 79,293,532.26
  5. Step 5: Solve for x
    x = 79,293,532.26/12,872.71
  6. Step 6: Final answer
    x = 6,159.82

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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.