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Finding the Fourth Proportional to 21,656.16, 32,490.72 and 9,969.48

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Solution

The fourth proportional to 21,656.16, 32,490.72 and 9,969.48 is: 14,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.16 : 32,490.72 = 9,969.48 : x
  2. Step 2: Convert to fraction form
    21,656.16/32,490.72 = 9,969.48/x
  3. Step 3: Cross multiply
    21,656.16x = 32,490.72 × 9,969.48
  4. Step 4: Simplify right side
    21,656.16x = 323,915,583.23
  5. Step 5: Solve for x
    x = 323,915,583.23/21,656.16
  6. Step 6: Final answer
    x = 14,957.20

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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.