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Finding the Fourth Proportional to 21,359.64, 32,038.68 and 5,777.64

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Solution

The fourth proportional to 21,359.64, 32,038.68 and 5,777.64 is: 8,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.64 : 32,038.68 = 5,777.64 : x
  2. Step 2: Convert to fraction form
    21,359.64/32,038.68 = 5,777.64/x
  3. Step 3: Cross multiply
    21,359.64x = 32,038.68 × 5,777.64
  4. Step 4: Simplify right side
    21,359.64x = 185,107,959.12
  5. Step 5: Solve for x
    x = 185,107,959.12/21,359.64
  6. Step 6: Final answer
    x = 8,666.25

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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.