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Finding the Fourth Proportional to 12,885.71, 19,328.57 and 7,039.13

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Solution

The fourth proportional to 12,885.71, 19,328.57 and 7,039.13 is: 10,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.71 : 19,328.57 = 7,039.13 : x
  2. Step 2: Convert to fraction form
    12,885.71/19,328.57 = 7,039.13/x
  3. Step 3: Cross multiply
    12,885.71x = 19,328.57 × 7,039.13
  4. Step 4: Simplify right side
    12,885.71x = 136,056,316.94
  5. Step 5: Solve for x
    x = 136,056,316.94/12,885.71
  6. Step 6: Final answer
    x = 10,558.70

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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.