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Finding the Fourth Proportional to 21,465.81, 32,208.44 and 9,782.37

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Solution

The fourth proportional to 21,465.81, 32,208.44 and 9,782.37 is: 14,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.81 : 32,208.44 = 9,782.37 : x
  2. Step 2: Convert to fraction form
    21,465.81/32,208.44 = 9,782.37/x
  3. Step 3: Cross multiply
    21,465.81x = 32,208.44 × 9,782.37
  4. Step 4: Simplify right side
    21,465.81x = 315,074,828.29
  5. Step 5: Solve for x
    x = 315,074,828.29/21,465.81
  6. Step 6: Final answer
    x = 14,677.98

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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.