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Finding the Fourth Proportional to 12,856.93, 19,284.14 and 8,723.50

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Solution

The fourth proportional to 12,856.93, 19,284.14 and 8,723.50 is: 13,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.93 : 19,284.14 = 8,723.50 : x
  2. Step 2: Convert to fraction form
    12,856.93/19,284.14 = 8,723.50/x
  3. Step 3: Cross multiply
    12,856.93x = 19,284.14 × 8,723.50
  4. Step 4: Simplify right side
    12,856.93x = 168,225,168.89
  5. Step 5: Solve for x
    x = 168,225,168.89/12,856.93
  6. Step 6: Final answer
    x = 13,084.40

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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.