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Finding the Fourth Proportional to 14,871, 22,317.36 and 11,984.16

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Solution

The fourth proportional to 14,871, 22,317.36 and 11,984.16 is: 17,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871 : 22,317.36 = 11,984.16 : x
  2. Step 2: Convert to fraction form
    14,871/22,317.36 = 11,984.16/x
  3. Step 3: Cross multiply
    14,871x = 22,317.36 × 11,984.16
  4. Step 4: Simplify right side
    14,871x = 267,454,813.02
  5. Step 5: Solve for x
    x = 267,454,813.02/14,871
  6. Step 6: Final answer
    x = 17,984.99

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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.