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Finding the Fourth Proportional to 21,466.35, 32,206.23 and 9,630

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Solution

The fourth proportional to 21,466.35, 32,206.23 and 9,630 is: 14,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.35 : 32,206.23 = 9,630 : x
  2. Step 2: Convert to fraction form
    21,466.35/32,206.23 = 9,630/x
  3. Step 3: Cross multiply
    21,466.35x = 32,206.23 × 9,630
  4. Step 4: Simplify right side
    21,466.35x = 310,145,994.90
  5. Step 5: Solve for x
    x = 310,145,994.90/21,466.35
  6. Step 6: Final answer
    x = 14,448.01

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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.