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Finding the Fourth Proportional to 14,544.30, 21,830.10 and 7,154.10

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Solution

The fourth proportional to 14,544.30, 21,830.10 and 7,154.10 is: 10,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.30 : 21,830.10 = 7,154.10 : x
  2. Step 2: Convert to fraction form
    14,544.30/21,830.10 = 7,154.10/x
  3. Step 3: Cross multiply
    14,544.30x = 21,830.10 × 7,154.10
  4. Step 4: Simplify right side
    14,544.30x = 156,174,718.41
  5. Step 5: Solve for x
    x = 156,174,718.41/14,544.30
  6. Step 6: Final answer
    x = 10,737.86

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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.