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Finding the Fourth Proportional to 16,730.50, 23,088.12 and 9,278.50

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Solution

The fourth proportional to 16,730.50, 23,088.12 and 9,278.50 is: 12,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.50 : 23,088.12 = 9,278.50 : x
  2. Step 2: Convert to fraction form
    16,730.50/23,088.12 = 9,278.50/x
  3. Step 3: Cross multiply
    16,730.50x = 23,088.12 × 9,278.50
  4. Step 4: Simplify right side
    16,730.50x = 214,223,121.42
  5. Step 5: Solve for x
    x = 214,223,121.42/16,730.50
  6. Step 6: Final answer
    x = 12,804.35

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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.