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Finding the Fourth Proportional to 21,618.08, 32,428 and 9,769.58

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Solution

The fourth proportional to 21,618.08, 32,428 and 9,769.58 is: 14,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.08 : 32,428 = 9,769.58 : x
  2. Step 2: Convert to fraction form
    21,618.08/32,428 = 9,769.58/x
  3. Step 3: Cross multiply
    21,618.08x = 32,428 × 9,769.58
  4. Step 4: Simplify right side
    21,618.08x = 316,807,940.24
  5. Step 5: Solve for x
    x = 316,807,940.24/21,618.08
  6. Step 6: Final answer
    x = 14,654.77

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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.