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Finding the Fourth Proportional to 14,345.32, 21,478.06 and 7,310.16

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Solution

The fourth proportional to 14,345.32, 21,478.06 and 7,310.16 is: 10,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.32 : 21,478.06 = 7,310.16 : x
  2. Step 2: Convert to fraction form
    14,345.32/21,478.06 = 7,310.16/x
  3. Step 3: Cross multiply
    14,345.32x = 21,478.06 × 7,310.16
  4. Step 4: Simplify right side
    14,345.32x = 157,008,018.54
  5. Step 5: Solve for x
    x = 157,008,018.54/14,345.32
  6. Step 6: Final answer
    x = 10,944.90

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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.