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Finding the Fourth Proportional to 14,589.18, 21,864.74 and 6,688.85

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Solution

The fourth proportional to 14,589.18, 21,864.74 and 6,688.85 is: 10,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.18 : 21,864.74 = 6,688.85 : x
  2. Step 2: Convert to fraction form
    14,589.18/21,864.74 = 6,688.85/x
  3. Step 3: Cross multiply
    14,589.18x = 21,864.74 × 6,688.85
  4. Step 4: Simplify right side
    14,589.18x = 146,249,823.38
  5. Step 5: Solve for x
    x = 146,249,823.38/14,589.18
  6. Step 6: Final answer
    x = 10,024.54

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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.