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Finding the Fourth Proportional to 12,886.40, 19,316.10 and 5,394.25

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Solution

The fourth proportional to 12,886.40, 19,316.10 and 5,394.25 is: 8,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.40 : 19,316.10 = 5,394.25 : x
  2. Step 2: Convert to fraction form
    12,886.40/19,316.10 = 5,394.25/x
  3. Step 3: Cross multiply
    12,886.40x = 19,316.10 × 5,394.25
  4. Step 4: Simplify right side
    12,886.40x = 104,195,824.13
  5. Step 5: Solve for x
    x = 104,195,824.13/12,886.40
  6. Step 6: Final answer
    x = 8,085.72

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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.