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Finding the Fourth Proportional to 21,684.88, 32,534.58 and 9,204.40

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Solution

The fourth proportional to 21,684.88, 32,534.58 and 9,204.40 is: 13,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.88 : 32,534.58 = 9,204.40 : x
  2. Step 2: Convert to fraction form
    21,684.88/32,534.58 = 9,204.40/x
  3. Step 3: Cross multiply
    21,684.88x = 32,534.58 × 9,204.40
  4. Step 4: Simplify right side
    21,684.88x = 299,461,288.15
  5. Step 5: Solve for x
    x = 299,461,288.15/21,684.88
  6. Step 6: Final answer
    x = 13,809.68

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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.