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Finding the Fourth Proportional to 14,911.30, 22,368.30 and 6,144.40

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Solution

The fourth proportional to 14,911.30, 22,368.30 and 6,144.40 is: 9,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.30 : 22,368.30 = 6,144.40 : x
  2. Step 2: Convert to fraction form
    14,911.30/22,368.30 = 6,144.40/x
  3. Step 3: Cross multiply
    14,911.30x = 22,368.30 × 6,144.40
  4. Step 4: Simplify right side
    14,911.30x = 137,439,782.52
  5. Step 5: Solve for x
    x = 137,439,782.52/14,911.30
  6. Step 6: Final answer
    x = 9,217.16

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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.