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Finding the Fourth Proportional to 14,362.01, 21,531.37 and 6,458.74

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Solution

The fourth proportional to 14,362.01, 21,531.37 and 6,458.74 is: 9,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.01 : 21,531.37 = 6,458.74 : x
  2. Step 2: Convert to fraction form
    14,362.01/21,531.37 = 6,458.74/x
  3. Step 3: Cross multiply
    14,362.01x = 21,531.37 × 6,458.74
  4. Step 4: Simplify right side
    14,362.01x = 139,065,462.81
  5. Step 5: Solve for x
    x = 139,065,462.81/14,362.01
  6. Step 6: Final answer
    x = 9,682.87

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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.