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Finding the Fourth Proportional to 14,775.66, 22,145.67 and 6,452.10

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Solution

The fourth proportional to 14,775.66, 22,145.67 and 6,452.10 is: 9,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.66 : 22,145.67 = 6,452.10 : x
  2. Step 2: Convert to fraction form
    14,775.66/22,145.67 = 6,452.10/x
  3. Step 3: Cross multiply
    14,775.66x = 22,145.67 × 6,452.10
  4. Step 4: Simplify right side
    14,775.66x = 142,886,077.41
  5. Step 5: Solve for x
    x = 142,886,077.41/14,775.66
  6. Step 6: Final answer
    x = 9,670.37

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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.