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Finding the Fourth Proportional to 21,330.30, 32,001.63 and 6,541.40

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Solution

The fourth proportional to 21,330.30, 32,001.63 and 6,541.40 is: 9,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.30 : 32,001.63 = 6,541.40 : x
  2. Step 2: Convert to fraction form
    21,330.30/32,001.63 = 6,541.40/x
  3. Step 3: Cross multiply
    21,330.30x = 32,001.63 × 6,541.40
  4. Step 4: Simplify right side
    21,330.30x = 209,335,302.47
  5. Step 5: Solve for x
    x = 209,335,302.47/21,330.30
  6. Step 6: Final answer
    x = 9,813.99

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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.