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Finding the Fourth Proportional to 21,458.89, 32,187.65 and 6,466.10

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Solution

The fourth proportional to 21,458.89, 32,187.65 and 6,466.10 is: 9,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.89 : 32,187.65 = 6,466.10 : x
  2. Step 2: Convert to fraction form
    21,458.89/32,187.65 = 6,466.10/x
  3. Step 3: Cross multiply
    21,458.89x = 32,187.65 × 6,466.10
  4. Step 4: Simplify right side
    21,458.89x = 208,128,370.40
  5. Step 5: Solve for x
    x = 208,128,370.40/21,458.89
  6. Step 6: Final answer
    x = 9,698.93

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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.