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Finding the Fourth Proportional to 19,683.16, 27,162.39 and 10,730.50

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Solution

The fourth proportional to 19,683.16, 27,162.39 and 10,730.50 is: 14,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.16 : 27,162.39 = 10,730.50 : x
  2. Step 2: Convert to fraction form
    19,683.16/27,162.39 = 10,730.50/x
  3. Step 3: Cross multiply
    19,683.16x = 27,162.39 × 10,730.50
  4. Step 4: Simplify right side
    19,683.16x = 291,466,025.90
  5. Step 5: Solve for x
    x = 291,466,025.90/19,683.16
  6. Step 6: Final answer
    x = 14,807.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.