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Finding the Fourth Proportional to 21,485.64, 32,222.88 and 14,461.68

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Solution

The fourth proportional to 21,485.64, 32,222.88 and 14,461.68 is: 21,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.64 : 32,222.88 = 14,461.68 : x
  2. Step 2: Convert to fraction form
    21,485.64/32,222.88 = 14,461.68/x
  3. Step 3: Cross multiply
    21,485.64x = 32,222.88 × 14,461.68
  4. Step 4: Simplify right side
    21,485.64x = 465,996,979.24
  5. Step 5: Solve for x
    x = 465,996,979.24/21,485.64
  6. Step 6: Final answer
    x = 21,688.76

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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.