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Finding the Fourth Proportional to 14,856.64, 22,276.74 and 6,097.72

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Solution

The fourth proportional to 14,856.64, 22,276.74 and 6,097.72 is: 9,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.64 : 22,276.74 = 6,097.72 : x
  2. Step 2: Convert to fraction form
    14,856.64/22,276.74 = 6,097.72/x
  3. Step 3: Cross multiply
    14,856.64x = 22,276.74 × 6,097.72
  4. Step 4: Simplify right side
    14,856.64x = 135,837,323.03
  5. Step 5: Solve for x
    x = 135,837,323.03/14,856.64
  6. Step 6: Final answer
    x = 9,143.21

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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.