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Finding the Fourth Proportional to 15,681.40, 21,638.82 and 9,393.64

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Solution

The fourth proportional to 15,681.40, 21,638.82 and 9,393.64 is: 12,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.40 : 21,638.82 = 9,393.64 : x
  2. Step 2: Convert to fraction form
    15,681.40/21,638.82 = 9,393.64/x
  3. Step 3: Cross multiply
    15,681.40x = 21,638.82 × 9,393.64
  4. Step 4: Simplify right side
    15,681.40x = 203,267,285.10
  5. Step 5: Solve for x
    x = 203,267,285.10/15,681.40
  6. Step 6: Final answer
    x = 12,962.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.