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Finding the Fourth Proportional to 12,330.84, 18,509.40 and 5,314.32

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Solution

The fourth proportional to 12,330.84, 18,509.40 and 5,314.32 is: 7,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.84 : 18,509.40 = 5,314.32 : x
  2. Step 2: Convert to fraction form
    12,330.84/18,509.40 = 5,314.32/x
  3. Step 3: Cross multiply
    12,330.84x = 18,509.40 × 5,314.32
  4. Step 4: Simplify right side
    12,330.84x = 98,364,874.61
  5. Step 5: Solve for x
    x = 98,364,874.61/12,330.84
  6. Step 6: Final answer
    x = 7,977.14

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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.