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Finding the Fourth Proportional to 14,143.68, 21,215.34 and 6,354.72

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Solution

The fourth proportional to 14,143.68, 21,215.34 and 6,354.72 is: 9,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.68 : 21,215.34 = 6,354.72 : x
  2. Step 2: Convert to fraction form
    14,143.68/21,215.34 = 6,354.72/x
  3. Step 3: Cross multiply
    14,143.68x = 21,215.34 × 6,354.72
  4. Step 4: Simplify right side
    14,143.68x = 134,817,545.40
  5. Step 5: Solve for x
    x = 134,817,545.40/14,143.68
  6. Step 6: Final answer
    x = 9,532.00

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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.